@preprint{Rovelli,
author = {Rovelli, C.},
cited = {5 January 2005},
format = {arxiv},
keywords = {Quantum gravity},
title = {Notes for a brief history of quantum gravity},
url = {http://arXiv.org/abs/gr-qc/0006061},
year = {2000}
}
@article{Carliprev,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Rep. Prog. Phys.},
keywords = {Quantum gravity, Canonical quantum gravity, Perturbation methods, Path integral methods, Loop gravity, String theory, Observables, Problem of time},
onlineversion = {http://arXiv.org/abs/gr-qc/0108040},
pages = {885--942},
title = {Quantum gravity: a Progress Report},
volume = {64},
year = {2001}
}
@article{Goroff,
author = {Goroff, M.H. and Sagnotti, A.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Quantum gravity, Nonrenormalizability of gravity, Perturbation methods},
pages = {709--736},
title = {The ultraviolet behavior of Einstein gravity},
volume = {266},
year = {1986}
}
@article{DJtH,
author = {Deser, S. and Jackiw, R. and 't Hooft, G.},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {2+1 gravity, Point sources, Exact solutions},
pages = {220},
title = {Three dimensional Einstein gravity: Dynamics of at space},
volume = {152},
year = {1984}
}
@article{Barrow,
author = {Barrow, J.D. and Burd, A.B. and Lancaster, D.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Classical limit, Exact solutions},
pages = {551--567},
title = {Three-dimensional classical spacetimes},
volume = {3},
year = {1986}
}
@article{Cornish,
author = {Cornish, N.J. and Frankel, N.E.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Classical limit, Exact solutions},
pages = {2555--2565},
title = {Gravitation in 2+1 dimensions},
volume = {43},
year = {1991}
}
@article{Staruszkiewicz,
author = {Staruszkiewicz, A.},
format = {print},
journal = {Acta Phys. Pol.},
keywords = {2+1 gravity, Point sources, Exact solutions},
pages = {734},
title = {Gravitation theory in three-dimensional space},
volume = {6},
year = {1963}
}
@article{DesJaca,
author = {Deser, S. and Jackiw, R.},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {2+1 gravity, Point sources, Exact solutions},
pages = {405--416},
title = {Three-dimensional cosmological gravity: Dynamics of constant curvature},
volume = {153},
year = {1984}
}
@article{DesJacb,
author = {Deser, S. and Jackiw, R.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Equations of motion},
pages = {495--509},
title = {Classical and quantum scattering on a cone},
volume = {118},
year = {1988}
}
@article{tHooft,
author = {'t Hooft, G.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Equations of motion},
pages = {685--700},
title = {Non-perturbative 2 particle scattering amplitudes in 2+1 dimensional quantum gravity},
volume = {117},
year = {1988}
}
@article{Gerbert,
author = {de Sousa Gerbert, P. and Jackiw, R.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Equations of motion, Exact solutions},
pages = {229--260},
title = {The Analysis of Space-Time Singularities},
volume = {124},
year = {1989}
}
@article{Wittena,
author = {Witten, E.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity, Exact solutions},
pages = {46--78},
title = {2 + 1 dimensional gravity as an exactly soluble system},
volume = {311},
year = {1988}
}
@article{Wittenb,
author = {Witten, E.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity, Topology change},
pages = {113--140},
title = {Topology-changing amplitudes in 2 + 1 dimensional gravity},
volume = {323},
year = {1989}
}
@article{BTZ,
author = {Ba{\~{n}}ados, M. and Teitelboim, C. and Zanelli, J.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Black holes},
onlineversion = {http://arXiv.org/abs/hep-th/9204099},
pages = {1849--1851},
title = {The Black Hole in Three Dimensional Space Time},
volume = {69},
year = {1992}
}
@article{BHTZ,
author = {Ba{\~{n}}ados, M. and Henneaux, M. and Teitelboim, C. and Zanelli, J.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Black holes, Geometric methods},
onlineversion = {http://arXiv.org/abs/gr-qc/9302012},
pages = {1506--1525},
title = {Geometry of the 2+1 Black Hole},
volume = {48},
year = {1993}
}
@article{Carlip1,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Black holes, Black hole thermodynamics, Quantum gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9409052},
pages = {632--637},
title = {The Statistical Mechanics of the (2+1)-Dimensional Black Hole},
volume = {51},
year = {1995}
}
@article{Strominger,
author = {Strominger, A.},
cited = {5 January 2005},
format = {print},
journal = {J. High Energy Phys.},
keywords = {2+1 gravity, Black hole thermodynamics, Asymptotics, String theory, AdS/CFT correspondence},
onlineversion = {http://arXiv.org/abs/hep-th/9712251},
pages = {009},
title = {Black Hole Entropy from Near-Horizon Microstates},
volume = {02},
year = {1998}
}
@article{Birmingham,
author = {Birmingham, D. and Sachs, I. and Sen, S.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Black hole thermodynamics, Asymptotics, String theory, AdS/CFT correspondence},
onlineversion = {http://arXiv.org/abs/hep-th/9801019},
pages = {275--280},
title = {Entropy of Three-Dimensional Black Holes in String Theory},
volume = {424},
year = {1998}
}
@article{CHvD,
author = {Coussaert, O. and Henneaux, M. and van Driel, P.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Black holes, Asymptotics, Chern-Simons formalism, Liouville theory},
onlineversion = {http://arXiv.org/abs/gr-qc/9506019},
pages = {2961--2966},
title = {The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant},
volume = {12},
year = {1995}
}
@article{BERS,
author = {Bautier, K. and Englert, F. and Rooman, M. and Spindel, P.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Black holes, Asymptotics, Liouville theory},
onlineversion = {http://arXiv.org/abs/hep-th/0002156},
pages = {291--298},
title = {The Fefferman--Graham Ambiguity and AdS Black Holes},
volume = {479},
year = {2000}
}
@article{Arc,
author = {Arcioni, G. and Blau, M. and O'Loughlin, M.},
cited = {5 January 2005},
format = {print},
journal = {J. High Energy Phys.},
keywords = {2+1 gravity, Chern-Simons formalism, Asymptotics, WZW models},
onlineversion = {http://arXiv.org/abs/hep-th/0210089},
pages = {067},
title = {On the Boundary Dynamics of Chern--Simons Gravity},
volume = {01},
year = {2003}
}
@article{Chen,
author = {Chen, Y.-J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Black hole thermodynamics, Asymptotics, Liouville theory},
onlineversion = {http://arXiv.org/abs/hep-th/0310234},
pages = {1153--1180},
title = {Quantum Liouville theory and BTZ black hole entropy},
volume = {21},
year = {2004}
}
@article{Carlip2,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Black hole thermodynamics, Quantum gravity, Asymptotics},
onlineversion = {http://arXiv.org/abs/hep-th/9806026},
pages = {3609--3625},
title = {What We Don't Know about BTZ Black Hole Entropy},
volume = {15},
year = {1998}
}
@article{CarKorea,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {J. Korean Phys. Soc.},
keywords = {2+1 gravity, Quantum gravity, Canonical quantum gravity, Path integral methods, Chern-Simons formalism, Loop gravity, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/9503024},
pages = {S447--S467},
title = {Lectures in (2+1)-Dimensional Gravity},
volume = {28},
year = {1995}
}
@inproceedings{Carsix,
address = {Singapore; River Edge, U.S.A.},
author = {Carlip, S.},
booktitle = {Proceedings of the 5th Canadian Conference on General Relativity and Relativistic Astrophysics},
cited = {5 January 2005},
conference = {University of Waterloo 13--15 May, 1993},
editor = {Mann, R.B. and McLenaghan, R.G.},
format = {print},
keywords = {2+1 gravity, Quantum gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9305020},
publisher = {World Scientific},
title = {Six ways to quantize (2+1)-dimensional gravity},
year = {1994}
}
@book{Carlipbook,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Carlip, S.},
format = {print},
keywords = {2+1 gravity, Quantum gravity, Canonical quantum gravity, Path integral methods, Chern-Simons formalism, Loop gravity, Observables, Quantum cosmology},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Quantum Gravity in 2+1 Dimensions},
year = {1998}
}
@article{Carlip0,
author = {Carlip, S.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, Point sources, Equations of motion},
pages = {106--122},
title = {Exact quantum scattering in 2 + 1 dimensional gravity},
volume = {324},
year = {1989}
}
@article{Matschull,
author = {Matschull, H.-J. and Welling, M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Point sources, Equations of motion},
onlineversion = {http://arXiv.org/abs/gr-qc/9708054},
pages = {2981--3030},
title = {Quantum Mechanics of a Point Particle in 2+1 Dimensional Gravity},
volume = {15},
year = {1998}
}
@article{Matschull1,
author = {Matschull, H.-J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Point sources, Equations of motion},
onlineversion = {http://arXiv.org/abs/gr-qc/0103084},
pages = {3497--3560},
title = {The Phase Space Structure of Multi Particle Models in 2+1 Gravity},
volume = {18},
year = {2001}
}
@article{Bais,
author = {Bais, F.A. and Muller, N.M. and Schroers, B.J.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Point sources, Equations of motion, Quantum groups, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/hep-th/0205021},
pages = {3--45},
title = {Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity},
volume = {640},
year = {2002}
}
@article{Bais2,
author = {Bais, F.A. and Muller, N.M.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Quantum groups, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/hep-th/9804130},
pages = {349--400},
title = {Topological field theory and the quantum double of SU(2)},
volume = {530},
year = {1998}
}
@article{Menotti,
author = {Menotti, P. and Seminara, D.},
cited = {5 January 2005},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {2+1 gravity, ADM formalism, Point sources, Equations of motion},
onlineversion = {http://arXiv.org/abs/hep-th/9907111},
pages = {282--310},
title = {ADM Approach to 2+1 Dimensional Gravity Coupled to Particles},
volume = {279},
year = {2000}
}
@article{Cantini,
author = {Cantini, L. and Menotti, P.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, ADM formalism, Point sources, Equations of motion},
onlineversion = {http://arXiv.org/abs/hep-th/0209061},
pages = {845--858},
title = {Functional approach to 2+1 dimensional gravity coupled to particles},
volume = {20},
year = {2003}
}
@article{Louko,
author = {Louko, J. and Matschull, H.-J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Point sources, Equations of motion, Minimum length},
onlineversion = {http://arXiv.org/abs/gr-qc/0103085},
pages = {2731--2784},
title = {The 2+1 Kepler Problem and Its Quantization},
volume = {18},
year = {2001}
}
@article{Carlip3,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Black holes, Black hole thermodynamics, Quantum gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9506079},
pages = {2853--2880},
title = {The (2+1)-Dimensional Black Hole},
volume = {12},
year = {1995}
}
@preprint{Banados,
author = {Ba{\~{n}}ados, M.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Black holes, Black hole thermodynamics, Quantum gravity},
title = {Three-dimensional quantum geometry and black holes},
url = {http://arXiv.org/abs/hep-th/9901148},
year = {1999}
}
@article{HorWelch,
author = {Horowitz, G.T. and Welch, D.L.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Black holes, Black hole thermodynamics, String theory},
onlineversion = {http://arXiv.org/abs/hep-th/9302126},
pages = {328--331},
title = {Exact Three Dimensional Black Holes in String Theory},
volume = {71},
year = {1993}
}
@article{Kal,
author = {Kaloper, N.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Black holes, Black hole thermodynamics, String theory},
onlineversion = {http://arXiv.org/abs/hep-th/9303007},
pages = {2598--2605},
title = {Miens of The Three Dimensional Black Hole},
volume = {48},
year = {1993}
}
@article{MalOog1,
author = {Maldacena, J.M. and Ooguri, H.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, String theory, WZW models, Black holes},
onlineversion = {http://arXiv.org/abs/hep-th/0001053},
pages = {2929--2960},
title = {Strings in $AdS_3$ and the SL(2,R) WZW model. I: The spectrum},
volume = {42},
year = {2001}
}
@article{MalOog2,
author = {Maldacena, J.M. and Ooguri, H.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, String theory, WZW models, Black holes},
onlineversion = {http://arXiv.org/abs/hep-th/0005183},
pages = {2961--2977},
title = {Strings in $AdS_3$ and the SL(2,R) WZW model. II: Euclidean black hole},
volume = {42},
year = {2001}
}
@article{MalOog3,
author = {Maldacena, J.M. and Ooguri, H.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, String theory, WZW models, Black holes},
onlineversion = {http://arXiv.org/abs/hep-th/0111180},
pages = {106006-1--43},
title = {Strings in $AdS_3$ and the SL(2,R) WZW model. III. Correlation functions},
volume = {65},
year = {2002}
}
@unpublished{Birmingham0,
author = {Birmingham, D. and Carlip, S.},
format = {unknown},
keywords = {2+1 gravity, Perturbation theory, Weak field limit},
note = {unpublished},
title = {}
}
@article{Dreyer,
author = {Ashtekar, A. and Wisniewski, J. and Dreyer, O.},
cited = {5 January 2005},
format = {print},
journal = {Adv. Theor. Math. Phys.},
keywords = {2+1 gravity, Black holes, Isolated horizons},
onlineversion = {http://arXiv.org/abs/gr-qc/0206024},
pages = {507--555},
title = {Isolated Horizons in 2+1 Gravity},
volume = {6},
year = {2002}
}
@book{Thur,
address = {Princeton, U.S.A.},
author = {Thurston, W.P.},
cited = {5 January 2005},
format = {print},
keywords = {Three-manifolds, Topology, Differential geometry, Geometric structures},
onlineversion = {http://www.msri.org/publications/books/gt3m/},
publisher = {Princeton University Press},
series = {Princeton Lecture Notes},
title = {The Geometry and Topology of Three-Manifolds},
year = {1979}
}
@inproceedings{Canary,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Canary, R.D. and Epstein, D.B.A. and Green, P.},
booktitle = {Analytical and Geometric Aspects of Hyperbolic Space: Warwick and Durham 1984},
conference = {Papers presented at two symposia held at the Universities of Warwick and Durham},
editor = {Epstein, D.B.A.},
format = {print},
keywords = {Three-manifolds, Topology, Differential geometry, Geometric structures, Hyperbolic spaces},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Notes Series},
title = {},
volume = {111},
year = {1987}
}
@inproceedings{Gold3,
address = {Providence, U.S.A.},
author = {Goldman, W.M.},
booktitle = {Geometry of Group Representations},
conference = {Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 5--11, 1987},
editor = {Goldman, W.M. and Magid, A.R.},
format = {print},
keywords = {Three-manifolds, Topology, Differential geometry, Geometric structures, Teichm{\"u}ller space},
publisher = {American Mathematical Society},
series = {Contemporary Mathematics},
title = {},
volume = {74},
year = {1988}
}
@article{SullThur,
author = {Sullivan, D. and Thurston, W.P.},
format = {print},
journal = {Enseign. Math.},
keywords = {Topology, Differential geometry, Geometric structures},
pages = {15--25},
title = {Manifolds with canonical coordinate charts: Some examples},
volume = {29},
year = {1983}
}
@inproceedings{Carlip4,
address = {Oxford, U.K.; New York, U.S.A.},
author = {Carlip, S.},
booktitle = {Knots and Quantum Gravity},
cited = {5 January 2005},
conference = {Proceedings of a conference held at U. C. Riverside on May 14--16th, 1993},
editor = {Baez, J.C.},
format = {print},
keywords = {2+1 gravity, Geometric structures, Chern-Simons formalism, Loop gravity, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/9309020},
publisher = {Clarendon Press; Oxford University Press},
series = {Oxford Lecture Series in Mathematics and its Applications},
title = {Geometric structures and loop variables in (2+1)-Dimensional gravity},
volume = {1},
year = {1994}
}
@unpublished{Mess,
author = {Mess, G.},
format = {unknown},
keywords = {2+1 gravity, Geometric structures, Topology},
note = {Institut des Hautes Etudes Scientifiques preprint IHES/M/90/28},
title = {Lorentz Spacetimes of Constant Curvature},
year = {1990}
}
@article{Fujiwara,
author = {Fujiwara, Y.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Geometric structures, Topology},
pages = {219--232},
title = {Geometrical construction of holonomy in three-dimensional hyperbolic manifold},
volume = {10},
year = {1993}
}
@article{Ezawa,
author = {Ezawa, K.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Geometric structures, Exact solutions, Quantum gravity},
onlineversion = {http://arXiv.org/abs/hep-th/9403160},
pages = {2935--2938},
title = {Addendum to ``Classical and Quantum Evolutions of the de Sitter and the anti-de Sitter Universes in 2+1 dimensions''},
volume = {50},
year = {1994}
}
@article{Matschull2,
author = {Matschull, H.-J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Chern-Simons formalism, ADM formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/9903040},
pages = {2599--2609},
title = {On the relation between 2+1 Einstein gravity and Chern Simons theory},
volume = {16},
year = {1999}
}
@article{Gold1,
author = {Goldman, W.M.},
format = {print},
journal = {Invent. Math.},
keywords = {Two-manifolds, Topology, Teichm{\"u}ller space},
pages = {557--607},
title = {Topological components of spaces of representation},
volume = {93},
year = {1988}
}
@article{Deser,
author = {Deser, S. and van Nieuwenhuizen, P.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Nonrenormalizability of gravity, First order formalism},
pages = {411--420},
title = {Nonrenormalizability of the quantized Dirac--Einstein system},
volume = {10},
year = {1974}
}
@article{Achucarro,
author = {Ach{\'{u}}carro, A. and Townsend, P.K.},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Chern-Simons formalism},
pages = {89--92},
title = {A Chern--Simons action for three-dimensional anti-de Sitter supergravity theories},
volume = {180},
year = {1986}
}
@article{Wittenc,
author = {Witten, E.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Chern-Simons theory, Topological field theory},
pages = {351--399},
title = {Quantum field theory and the Jones polynomial},
volume = {121},
year = {1989}
}
@article{Amanoa,
author = {Amano, K. and Higuchi, S.},
format = {print},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {2+1 gravity, Topology change, Chern-Simons formalism},
pages = {151},
title = {ISO(2,1) gauge fields and (2+1)-dimensional space-time},
volume = {110},
year = {1992}
}
@article{Unruh,
author = {Unruh, W.G. and Newbury, P.},
cited = {5 January 2005},
format = {print},
journal = {Int. J. Mod. Phys. D},
keywords = {2+1 gravity, Chern-Simons formalism, First order formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/9307029},
pages = {131--138},
title = {Solution to 2+1 gravity in dreibein formalism},
volume = {3},
year = {1994}
}
@article{NelReg,
author = {Nelson, J.E. and Regge, T.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Chern-Simons formalism},
pages = {190--202},
title = {Homotopy groups and 2+1 dimensional quantum gravity},
volume = {328},
year = {1989}
}
@article{NelRegZer,
author = {Nelson, J.E. and Regge, T.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Chern-Simons formalism},
pages = {516--532},
title = {Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity},
volume = {339},
year = {1990}
}
@article{Nelsonc,
author = {Nelson, J.E. and Regge, T.},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity},
pages = {213--216},
title = {2+1 quantum gravity},
volume = {272},
year = {1991}
}
@article{Nelsond,
author = {Nelson, J.E. and Regge, T.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Chern-Simons formalism},
pages = {211--223},
title = {(2+1) gravity for genus > 1},
volume = {141},
year = {1991}
}
@article{Loll,
author = {Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Chern-Simons formalism, Teichm{\"u}ller space},
onlineversion = {http://arXiv.org/abs/gr-qc/9408007},
pages = {1655--1662},
title = {Independent Loop Invariants for 2+1 Gravity},
volume = {12},
year = {1995}
}
@article{Fock,
author = {Fock, V.V. and Rosly, A.A.},
format = {print},
journal = {Am. Math. Soc. Transl.},
keywords = {2+1 gravity, Chern-Simons formalism, Teichm{\"u}ller space, Quantum groups},
pages = {67--86},
title = {Poisson structure on moduli of flat connections on Riemann surfaces and the $r$-matrix},
volume = {191},
year = {1999}
}
@article{Alekseev1,
author = {Alekseev, A.Y. and Grosse, H. and Schomerus, V.},
cited = {5 January 2005},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity, Quantum groups},
onlineversion = {http://arXiv.org/abs/hep-th/9403066},
pages = {317--358},
title = {Combinatorial quantization of the Hamiltonian Chern--Simons theory I},
volume = {172},
year = {1995}
}
@article{Alekseev2,
author = {Alekseev, A.Y. and Grosse, H. and Schomerus, V.},
cited = {5 January 2005},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity, Quantum groups},
onlineversion = {http://arXiv.org/abs/hep-th/9408097},
pages = {561--604},
title = {Combinatorial Quantization of the Hamiltonian Chern--Simons Theory II},
volume = {174},
year = {1995}
}
@article{Alekseev3,
author = {Alekseev, A.Y. and Malkin, A.Z.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity, Teichm{\"u}ller space, Quantum groups},
pages = {99},
title = {},
volume = {169},
year = {1995}
}
@article{Buff,
author = {Buffenoir, E. and Noui, K. and Roche, P.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum gravity, Quantum groups},
onlineversion = {http://arXiv.org/abs/hep-th/0202121},
pages = {4953--5015},
title = {Hamiltonian Quantization of Chern--Simons theory with SL(2,C) Group},
volume = {19},
year = {2002}
}
@article{Meusburger,
author = {Meusburger, C. and Schroers, B.J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Chern-Simons formalism, Quantum groups},
onlineversion = {http://arXiv.org/abs/gr-qc/0301108},
pages = {2193--2234},
title = {Poisson structure and symmetry in the Chern--Simons formulation of (2+1)-dimensional gravity},
volume = {20},
year = {2003}
}
@article{Goldman4,
author = {Goldman, W.M.},
format = {print},
journal = {Adv. Math.},
keywords = {Two-manifolds, Topology, Teichm{\"u}ller space},
pages = {200--225},
title = {The symplectic nature of fundamental groups of surfaces},
volume = {54},
year = {1984}
}
@article{GoldHam,
author = {Goldman, W.M.},
format = {print},
journal = {Invent. Math.},
keywords = {Two-manifolds, Topology, Teichm{\"u}ller space},
pages = {263--302},
title = {Invariant functions on Lie groups and Hamiltonian flows of surface group representations},
volume = {85},
year = {1986}
}
@incollection{ADM,
address = {New York, U.S.A.},
author = {Arnowitt, R. and Deser, S. and Misner, C.W.},
booktitle = {Gravitation: An Introduction to Current Research},
cited = {5 January 2005},
editor = {Witten, L.},
format = {print},
keywords = {ADM formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/0405109},
pages = {227--265},
publisher = {Wiley},
title = {The dynamics of general relativity},
year = {1962}
}
@article{Mon,
author = {Moncrief, V.},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, ADM formalism, Teichm{\"u}ller space},
pages = {2907--2914},
title = {Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichm{\"{u}}ller space},
volume = {30},
year = {1989}
}
@article{HosNak,
author = {Hosoya, A. and Nakao, K.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, ADM formalism, Teichm{\"u}ller space},
pages = {163--176},
title = {(2+1)-dimensional pure gravity for an arbitrary closed initial surface},
volume = {7},
year = {1990}
}
@article{York,
author = {York Jr, J.W.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Constant mean curvature hypersurfaces, Time foliations, ADM formalism},
pages = {1082--1085},
title = {Role of Conformal Three-Geometry in the Dynamics of Gravitation},
volume = {28},
year = {1972}
}
@article{Andersson,
author = {Andersson, L. and Moncrief, V. and Tromba, A.J.},
cited = {5 January 2005},
format = {print},
journal = {J. Geom. Phys.},
keywords = {2+1 gravity, ADM formalism, Existence theorems},
onlineversion = {http://arXiv.org/abs/gr-qc/9610013},
pages = {191},
title = {On the global evolution problem in 2+1 gravity},
volume = {23},
year = {1997}
}
@book{Abikoff,
address = {Berlin, Germany; New York, U.S.A.},
author = {Abikoff, W.},
format = {print},
keywords = {Teichm{\"u}ller space, Two-manifolds, Differential geometry},
publisher = {Springer},
series = {Lecture Notes in Mathematics},
title = {The Real Analytic Theory of Teichm{\"u}ller Space},
volume = {820},
year = {1980}
}
@article{Fish,
author = {Fischer, A. and Tromba, A.},
format = {print},
journal = {Math. Ann.},
keywords = {Teichm{\"u}ller space, Two-manifolds, Differential geometry},
pages = {311--345},
title = {On a purely Riemmanian proof of the structure and dimension of the unramified moduli space of a compact Riemann surface},
volume = {267},
year = {1984}
}
@article{Regge0,
author = {Regge, T.},
format = {print},
journal = {Nuovo Cimento},
keywords = {Regge calculus},
pages = {558--571},
title = {General relativity without coordinates},
volume = {19},
year = {1961}
}
@article{Rocek,
author = {Ro{\v{c}}ek, M. and Williams, R.M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Regge calculus},
pages = {701--706},
title = {Three-dimensional Einstein gravity and Regge calculus},
volume = {2},
year = {1985}
}
@article{tHooftb,
author = {'t Hooft, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms, Point sources},
pages = {1335--1348},
title = {Causality in (2+1)-dimensional gravity},
volume = {9},
year = {1992}
}
@article{tHooftc,
author = {'t Hooft, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms, Point sources},
pages = {S79--S91},
title = {Classical N-particle cosmology in 2+1 dimensions},
volume = {10},
year = {1993}
}
@article{tHooftd,
author = {'t Hooft, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms, Point sources},
pages = {1023--1038},
title = {The evolution of gravitating point particles in 2+1 dimensions},
volume = {10},
year = {1993}
}
@article{Franzosi,
author = {Franzosi, R. and Guadagnini, E.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms},
pages = {433--460},
title = {Topology and classical geometry in (2 + 1) gravity},
volume = {13},
year = {1996}
}
@article{Welling,
author = {Welling, M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/gr-qc/9606011},
pages = {929--943},
title = {The Torus Universe in the Polygon Approach to 2+1-Dimensional Gravity},
volume = {14},
year = {1997}
}
@article{Holl,
author = {Hollmann, H.R. and Williams, R.M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/gr-qc/9810021},
pages = {1503--1518},
title = {Hyperbolic geometry in 't Hooft's approach to (2 + 1)-dimensional gravity},
volume = {16},
year = {1999}
}
@article{Kadar,
author = {K{\'{a}}d{\'{a}}r, Z. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/gr-qc/0312043},
pages = {2465--2491},
title = {(2+1) gravity for higher genus in the polygon model},
volume = {21},
year = {2004}
}
@article{Waela,
author = {Waelbroeck, H.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms},
pages = {751},
title = {2+1 lattice gravity},
volume = {7},
year = {1990}
}
@article{Waelb,
author = {Waelbroeck, H.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Lattice formalisms},
pages = {2222--2225},
title = {Time-dependent solutions of 2+1 gravity},
volume = {64},
year = {1990}
}
@article{Waelc,
author = {Waelbroeck, H.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Lattice formalisms},
pages = {475--494},
title = {Solving the time-evolution problem in 2 + 1 gravity},
volume = {364},
year = {1991}
}
@article{Waeld,
author = {Waelbroeck, H. and Zapata, J.A.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Regge calculus},
pages = {1923--1932},
title = {Translation symmetry in 2+1 Regge calculus},
volume = {10},
year = {1993}
}
@article{Waele,
author = {Waelbroeck, H. and Zapata, J.A.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/gr-qc/9601011},
pages = {1761--1768},
title = {(2 + 1) covariant lattice theory and 't Hooft's formulation},
volume = {13},
year = {1996}
}
@article{Freidel,
author = {Freidel, L. and Louapre, D.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Spin foam models, Regge calculus, Ponzano-Regge model, Diffeomorphisms},
onlineversion = {http://arXiv.org/abs/gr-qc/0212001},
pages = {279--298},
title = {Diffeomorphisms and spin foam models},
volume = {662},
year = {2003}
}
@incollection{Birman,
address = {Princeton, U.S.A.},
author = {Birman, J.S. and Hilden, H.M.},
booktitle = {Advances in the Theory of Riemann Surfaces},
editor = {Ahlfors, L.V. et al.},
format = {print},
keywords = {Two-manifolds, Diffeomorphisms, Mapping class group},
pages = {81--115},
publisher = {Princeton University Press},
series = {Annals of Math. Studies},
title = {On the mapping class groups of closed surfaces as covering spaces},
volume = {66},
year = {1971}
}
@inproceedings{Birman2,
address = {London, U.K.; New York, U.S.A.},
author = {Birman, J.S.},
booktitle = {Discrete Groups and Automorphic Functions},
conference = {Proceedings of an instructional conference, Cambridge, England, 1975},
editor = {Harvey, W.J.},
format = {print},
keywords = {Two-manifolds, Teichm{\"u}ller space, Diffeomorphisms, Mapping class group},
pages = {163--198},
publisher = {Academic Press},
title = {The algebraic structure of surface mapping class groups},
year = {1977}
}
@inproceedings{Isham,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Isham, C.J.},
booktitle = {Quantum Structure of Space and Time},
conference = {Proceedings of the Nuffield Workshop, Imperial College, London, 3--21 August, 1981},
editor = {Duff, M.J. and Isham, C.J.},
format = {print},
keywords = {Quantum gravity, Diffeomorphisms, Mapping class group},
pages = {37--52},
publisher = {Cambridge University Press},
title = {Theta states induced by the diffeomorphism group in canonically quantized gravity},
year = {1982}
}
@article{Troost,
author = {Troost, J. and Tsuchiya, A.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Black holes, Equations of motion},
onlineversion = {http://arXiv.org/abs/hep-th/0307158},
pages = {301--308},
title = {Towards black hole scattering},
volume = {574},
year = {2003}
}
@article{Carlip6,
author = {Carlip, S.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Topology, Geometric structures, Equations of motion},
pages = {5--17},
title = {Measuring the metric in (2+1)-dimensional quantum gravity},
volume = {8},
year = {1991}
}
@article{Martinec,
author = {Martinec, E.J.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Exact solutions, Teichm{\"u}ller space},
pages = {1198--1204},
title = {Soluble systems in quantum gravity},
volume = {30},
year = {1984}
}
@article{CarNel,
author = {Carlip, S. and Nelson, J.E.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, ADM formalism, Observables, Teichm{\"u}ller space},
onlineversion = {http://arXiv.org/abs/gr-qc/9411031},
pages = {5643--5653},
title = {Comparative quantizations of (2+1)-dimensional gravity},
volume = {51},
year = {1995}
}
@article{CarNel2,
author = {Carlip, S. and Nelson, J.E.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, ADM formalism, Observables, Teichm{\"u}ller space},
onlineversion = {http://arXiv.org/abs/gr-qc/9311007},
pages = {299--302},
title = {Equivalent Quantisations of (2+1)-Dimensional Gravity},
volume = {324},
year = {1994}
}
@article{Loukox,
author = {Louko, J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Chern-Simons formalism, Exact solutions},
onlineversion = {http://arXiv.org/abs/gr-qc/9505026},
pages = {2441--2468},
title = {Witten's 2+1 gravity on R x (Klein bottle)},
volume = {12},
year = {1995}
}
@article{Ezawa2,
author = {Ezawa, K.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, ADM formalism, Teichm{\"u}ller space},
onlineversion = {http://arXiv.org/abs/hep-th/9409074},
pages = {373--391},
title = {Chern--Simons quantization of (2+1)-anti-de Sitter gravity on a torus},
volume = {12},
year = {1995}
}
@article{LouMar,
author = {Louko, J. and Marolf, D.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Chern-Simons formalism, Exact solutions, Teichm{\"u}ller space},
onlineversion = {http://arXiv.org/abs/gr-qc/9308018},
pages = {311--330},
title = {Solution space of 2+1 gravity on ${\bf R} \times T^2$ in Witten's connection formulation},
volume = {11},
year = {1994}
}
@article{NelPic,
author = {Nelson, J.E. and Picken, R.F.},
cited = {5 January 2005},
format = {print},
journal = {Lett. Math. Phys.},
keywords = {2+1 gravity, Chern-Simons formalism, Exact solutions, Teichm{\"u}ller space},
onlineversion = {http://arXiv.org/abs/math-ph/0105015},
pages = {215--226},
title = {Parametrization of the moduli space of flat SL(2,R) connections on the torus},
volume = {59},
year = {2002}
}
@article{Carlip7,
author = {Carlip, S.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, ADM formalism, Observables},
pages = {2647--2654},
title = {Observables, gauge invariance, and time in (2+1)-dimensional quantum gravity},
volume = {42},
year = {1990}
}
@article{Soda,
author = {Fujiwara, Y. and Soda, J.},
format = {print},
journal = {Prog. Theor. Phys.},
keywords = {2+1 gravity, Chern-Simons formalism, Exact solutions, Teichm{\"u}ller space},
pages = {733--748},
title = {Teichm{\"{u}}ller Motion of (2+1)-Dimensional Gravity with the Cosmological Constant},
volume = {83},
year = {1990}
}
@book{Cornfeld,
address = {New York, U.S.A.},
author = {Cornfeld, I.P. and Fomin, S.V. and Sinai, Y.G.},
format = {print},
keywords = {Ergodic theory, Teichm{\"u}ller space},
publisher = {Springer},
series = {Grundlehren der mathematischen Wissenschaften},
title = {Ergodic theory},
volume = {245},
year = {1982}
}
@article{Krasnov,
author = {Krasnov, K.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Asymptotics, AdS/CFT correspondence},
onlineversion = {http://arXiv.org/abs/hep-th/0109198},
pages = {4015--4042},
title = {On holomorphic factorization in asymptotically AdS 3D gravity},
volume = {20},
year = {2003}
}
@article{Mon2,
author = {Moncrief, V.},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, ADM formalism, Chern-Simons formalism, Exact solutions},
pages = {2978--2982},
title = {How solvable is (2+1)-dimensional Einstein gravity?},
volume = {31},
year = {1990}
}
@article{Benedetti,
author = {Benedetti, R. and Guadagnini, E.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Geometric structures, Time foliations},
onlineversion = {http://arXiv.org/abs/gr-qc/0003055},
pages = {330--352},
title = {Cosmological Time in (2+1) - Gravity},
volume = {613},
year = {2001}
}
@article{HosNak2,
author = {Hosoya, A. and Nakao, K.},
format = {print},
journal = {Prog. Theor. Phys.},
keywords = {2+1 gravity, Quantum gravity, ADM formalism, Wheeler-DeWitt equation},
pages = {739--748},
title = {(2+1)-dimensional quantum gravity},
volume = {84},
year = {1990}
}
@article{Carlip8,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, ADM formalism},
note = {Erratum: Phys. Rev. D 47 (1993) 1729},
onlineversion = {http://arXiv.org/abs/hep-th/9109006},
pages = {3584--3590},
title = {(2+1)-dimensional Chern--Simons gravity as a Dirac square root},
volume = {45},
year = {1992}
}
@article{Carlip9,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, ADM formalism, Mapping class group},
onlineversion = {http://arXiv.org/abs/gr-qc/9209011},
pages = {4520--4524},
title = {Modular group, operator ordering, and time in (2+1)-dimensional gravity},
volume = {47},
year = {1993}
}
@article{Okamura,
author = {Okamura, T. and Ishihara, H.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Chern-Simons formalism, Perturbation theory},
pages = {572--577},
title = {Perturbation of higher-genus spatial surfaces in (2 + 1)-dimensional gravity},
volume = {46},
year = {1992}
}
@article{Okamurab,
author = {Okamura, T. and Ishihara, H.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Chern-Simons formalism, Perturbation theory},
pages = {1706--1708},
title = {Perturbation of higher-genus surfaces in (2+1)-dimensional gravity with a cosmological constant},
volume = {47},
year = {1993}
}
@article{Puzio,
author = {Puzio, R.S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, ADM formalism, Exact solutions},
onlineversion = {http://arXiv.org/abs/gr-qc/9403012},
pages = {2667--2675},
title = {The Gauss map and 2 + 1 gravity},
volume = {11},
year = {1994}
}
@inproceedings{Maass,
address = {Chichester, U.K.; New York, U.S.A.},
author = {Iwaniec, H.},
booktitle = {Modular Forms},
conference = {Papers from a symposium on modular forms held June 30--July 10, 1983, University of Durham, England},
editor = {Rankin, R.A.},
format = {print},
keywords = {Modular forms, Mapping class group},
publisher = {Ellis Horwood; Halsted Press},
title = {},
year = {1984}
}
@article{Puzio2,
author = {Puzio, R.S.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, ADM formalism, Canonical quantum gravity},
pages = {609--620},
title = {On the square root of the Laplace--Beltrami operator as a Hamiltonian},
volume = {11},
year = {1994}
}
@preprint{Waldron,
author = {Waldron, A.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Exact solutions},
title = {Milne and Torus Universes Meet},
url = {http://arXiv.org/abs/hep-th/0408088},
year = {2004}
}
@article{Maass2,
author = {Fay, J.D.},
format = {print},
journal = {J. reine angew. Math.},
keywords = {Modular forms, Mapping class group},
pages = {143},
title = {Fourier coefficients of the resolvent for a Fuchsian group},
volume = {293},
year = {1977}
}
@book{Maass3,
address = {Bombay, India},
author = {Maass, H.},
format = {print},
keywords = {Modular forms, Mapping class group},
publisher = {Tata Institute of Fundamental Research},
series = {Lectures on Mathematics and Physics. Mathematics},
title = {Lectures on Modular Functions of One Complex Variable},
volume = {29},
year = {1964}
}
@article{Isen,
author = {Isenberg, J.A. and Marsden, J.E.},
format = {print},
journal = {Phys. Rep.},
keywords = {Differential geometry, Global methods, Space of metrics},
pages = {179--222},
title = {A slice theorem for the space of solutions of Einstein's equations},
volume = {89},
year = {1982}
}
@inproceedings{Kuchar,
address = {Singapore; River Edge, U.S.A.},
author = {K. Kucha{\v{r}}},
booktitle = {General Relativity and Relativistic Astrophysics},
conference = {Proceedings of the 4th Canadian Conference, University of Winnipeg, 16--18 May, 1991},
editor = {Kunstatter, G. and Vincent, D.E. and Williams, J.G.},
format = {print},
keywords = {Quantum gravity, Time foliations, Problem of time},
pages = {211},
publisher = {World Scientific},
title = {},
year = {1992}
}
@article{Torre,
author = {Torre, C.G. and Varadarajan, M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum field theory in curved spacetime, Time foliations, Problem of time},
onlineversion = {http://arXiv.org/abs/hep-th/9811222},
pages = {2651--2668},
title = {Functional evolution of free quantum fields},
volume = {16},
year = {1999}
}
@article{Ezawa3,
author = {Ezawa, K.},
cited = {5 January 2005},
format = {print},
journal = {Int. J. Mod. Phys. A},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/hep-th/9305170},
pages = {4727--4746},
title = {Transition Amplitude in 2+1 dimensional Chern--Simons Gravity on a Torus},
volume = {9},
year = {1994}
}
@article{Schwarz,
author = {Schwarz, A.S.},
format = {print},
journal = {Lett. Math. Phys.},
keywords = {Chern-Simons theory, Topological field theory},
pages = {247--252},
title = {The partition function of degenerate quadratic functional and Ray--Singer invariants},
volume = {2},
year = {1978}
}
@article{Schwarzb,
author = {Schwarz, A.S.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Chern-Simons theory, Topological field theory},
pages = {1--16},
title = {The partition function of a degenerate functional},
volume = {67},
year = {1979}
}
@article{EMSS,
author = {Elitzur, S. and Moore, G.W. and Schwimmer, A. and Seiberg, N.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Chern-Simons theory, WZW models},
pages = {108--134},
title = {Remarks on the canonical quantization of the Chern--Simons--Witten theory},
volume = {326},
year = {1989}
}
@article{Axel,
author = {Axelrod, S.E. and DellaPietra, S. and Witten, E.},
format = {print},
journal = {J. Differ. Geom.},
keywords = {Chern-Simons theory, WZW models},
pages = {787--902},
title = {Geometric quantization of Chern--Simons gauge theory},
volume = {33},
year = {1991}
}
@article{Wittend,
author = {Witten, E.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Chern-Simons theory, WZW models, 2+1 gravity},
pages = {29--66},
title = {Quantization of Chern--Simons gauge theory with complex gauge group},
volume = {137},
year = {1991}
}
@article{Hayashi,
author = {Hayashi, N.},
format = {print},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {Chern-Simons theory, WZW models, 2+1 gravity},
pages = {125--147},
title = {Quantum Hilbert Space of G(C) Cher-Simons-Witten Theory and Gravity},
volume = {114},
year = {1993}
}
@article{BarNatan,
author = {Bar-Natan, D. and Witten, E.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Chern-Simons theory, WZW models, 2+1 gravity},
pages = {423--440},
title = {Perturbative expansion of Chern--Simons theory with non-compact gauge group},
volume = {141},
year = {1991}
}
@preprint{Gukov,
author = {Gukov, S.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, Observables, Topology},
title = {Three-Dimensional Quantum Gravity, Chern--Simons Theory, and the A-Polynomial},
url = {http://arXiv.org/abs/hep-th/0306165},
year = {2003}
}
@article{NelReg2,
author = {Nelson, J.E. and Regge, T.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/9311029},
pages = {5125--5129},
title = {Quantisation of 2+1 gravity for genus 2},
volume = {50},
year = {1994}
}
@book{Ashtekar,
address = {Singapore},
author = {Ashtekar, A.},
format = {print},
keywords = {Loop gravity, Quantum gravity},
publisher = {World Scientific},
series = {Advanced Series in Astrophysics and Cosmology},
title = {Lectures on Non-Perturbative Canonical Gravity},
volume = {6},
year = {1991}
}
@article{Ashtekarb,
author = {Ashtekar, A. and Husain, V. and Rovelli, C. and Samuel, J. and Smolin, L.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Loop gravity},
pages = {L185--L193},
title = {2+1 quantum gravity as a toy model for the 3+1 theory},
volume = {6},
year = {1989}
}
@article{NelPicb,
author = {Nelson, J.E. and Picken, R.F.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/9911005},
pages = {367--372},
title = {Quantum Holonomies in (2+1)-Dimensional Gravity},
volume = {471},
year = {2000}
}
@article{Giulini,
author = {Giulini, D. and Louko, J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, Teichm{\"u}ller space, Mapping class group},
onlineversion = {http://arXiv.org/abs/gr-qc/9504035},
pages = {2735--2746},
title = {Diffeomorphism invariant subspaces in Witten's 2+1 quantum gravity on ${\bf R} \times T^2$},
volume = {12},
year = {1995}
}
@article{Peldan,
author = {Peld{\'{a}}n, P.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, Teichm{\"u}ller space, Mapping class group},
onlineversion = {http://arXiv.org/abs/gr-qc/9501020},
pages = {3147--3155},
title = {Large Diffeomorphisms in (2+1)-Quantum Gravity on the Torus},
volume = {53},
year = {1996}
}
@article{Ashtekarc,
author = {Ashtekar, A. and Magnon, A.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Quantum field theory in curved spacetime, Covariant canonical formalism},
pages = {375--394},
title = {Quantum fields in curved space-times},
volume = {346},
year = {1975}
}
@incollection{Ashtekard,
address = {Amsterdam, Netherlands},
author = {Ashtekar, A. and Bombelli, L. and Reula, O.A.},
booktitle = {Mechanics, Analysis and Geometry: 200 Years after Lagrange},
editor = {Francaviglia, M. and Holm, D.},
format = {print},
keywords = {General relativity, Covariant canonical formalism},
pages = {417--450},
publisher = {North Holland},
series = {North-Holland Delta Series},
title = {Covariant phase space of asymptotically flat gravitational fields},
year = {1990}
}
@incollection{Crnkovic,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Crnkovic, C. and Witten, E.},
booktitle = {Three Hundred Years of Gravitation},
editor = {Hawking, S.W. and Israel, W.},
format = {print},
keywords = {General relativity, Covariant canonical formalism},
pages = {676--684},
publisher = {Cambridge University Press},
title = {Covariant description of canonical formalism in geometrical theories},
year = {1987}
}
@article{Lee,
author = {Lee, J. and Wald, R.M.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Conserved quantities, Constraints, Covariant canonical formalism},
pages = {725--473},
title = {Local symmetries and constraints},
volume = {31},
year = {1990}
}
@article{Wald,
author = {Wald, R.M.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Black hole thermodynamics, Conserved quantities, Covariant canonical formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/9307038},
pages = {R3427--R3431},
title = {Black hole entropy is Noether charge},
volume = {48},
year = {1993}
}
@preprint{Basu,
author = {Basu, S.},
cited = {5 January 2005},
format = {arxiv},
keywords = {Quantum mechanics, Covariant canonical formalism, Perturbation methods},
title = {Perturbation theory in covariant canonical quantization},
url = {http://arXiv.org/abs/gr-qc/0410015},
year = {2004}
}
@article{Torreb,
author = {Torre, C.G.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/9306030},
pages = {2373--2376},
title = {Gravitational observables and local symmetries},
volume = {48},
year = {1993}
}
@article{Rovellib,
author = {Rovelli, C.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Time foliations, Problem of time, Observables},
pages = {2638--2646},
title = {Quantum mechanics without time: A model},
volume = {42},
year = {1990}
}
@article{Rovellic,
author = {Rovelli, C.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Time foliations, Problem of time, Observables},
pages = {442--456},
title = {Time in quantum gravity: An hypothesis},
volume = {43},
year = {1991}
}
@article{CarNel3,
author = {Carlip, S. and Nelson, J.E.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Teichm{\"u}ller space, Mapping class group},
onlineversion = {http://arXiv.org/abs/gr-qc/9807087},
pages = {024012-1--12},
title = {Quantum modular group in (2+1)-dimensional gravity},
volume = {59},
year = {1998}
}
@article{CarNel4,
author = {Carlip, S. and Nelson, J.E.},
format = {print},
journal = {Heavy Ion Phys.},
keywords = {2+1 gravity, Quantum gravity, Teichm{\"u}ller space, Mapping class group},
pages = {361},
title = {Quantum modular group in (2+1)-dimensional gravity},
volume = {10},
year = {1999}
}
@article{Cosgrove,
author = {Cosgrove, R.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, Time foliations, Problem of time},
onlineversion = {http://arXiv.org/abs/gr-qc/9511059},
pages = {891--919},
title = {Consistent evolution with different time slicings in quantum gravity},
volume = {13},
year = {1996}
}
@article{Rovellid,
author = {Rovelli, C.},
cited = {5 January 2005},
format = {electronic},
id = {lrr-1998-1},
journal = {Living Rev. Relativity},
keywords = {Quantum gravity, Loop gravity},
title = {Loop Quantum Gravity},
url = {http://www.livingreviews.org/lrr-1998-1},
volume = {1},
year = {1998}
}
@article{Varadarajan,
author = {Barbero, J.F. and Varadarajan, M.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Loop gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9307006},
pages = {515--532},
title = {The Phase Space of 2+1 Dimensional Gravity in the Ashtekar Formulation},
volume = {415},
year = {1994}
}
@article{Varadarajanb,
author = {Barbero, J.F. and Varadarajan, M.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Loop gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9507044},
pages = {355--376},
title = {Homogeneous 2+1 Dimensional Gravity in the Ashtekar Formulation},
volume = {456},
year = {1995}
}
@article{Mandelstam,
author = {Mandelstam, S.},
format = {print},
journal = {Phys. Rev.},
keywords = {Quantum field theory},
pages = {1580--1603},
title = {Feynman Rules for Electromagnetic and Yang--Mills Fields from the Gauge-Independent Field-Theoretic Formalism},
volume = {175},
year = {1968}
}
@article{Marolf,
author = {Marolf, D.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Loop gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9303019},
pages = {2625--2647},
title = {Loop representations for 2+1 gravity on a torus},
volume = {10},
year = {1993}
}
@book{Gambini,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Gambini, R. and Pullin, J.},
format = {print},
keywords = {Quantum gravity, Loop gravity},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Loops, Knots, Gauge Theories and Quantum Gravity},
year = {1996}
}
@article{AshLoll,
author = {Ashtekar, A. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Loop gravity},
onlineversion = {http://arXiv.org/abs/gr-qc/9405031},
pages = {2417--2434},
title = {New loop representations for 2+1 gravity},
volume = {11},
year = {1994}
}
@article{Freidel2,
author = {Freidel, L. and Livine, E.R.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {Quantum gravity, Loop gravity, Spin foam models},
onlineversion = {http://arXiv.org/abs/hep-th/0205268},
pages = {1322--1356},
title = {Spin Networks for Non-Compact Groups},
volume = {44},
year = {2003}
}
@article{Freidel3,
author = {Freidel, L. and Livine, E.R. and Rovelli, C.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Loop gravity, Spin foam models, Minimum length},
onlineversion = {http://arXiv.org/abs/gr-qc/0212077},
pages = {1463--1478},
title = {Spectra of length and area in (2 + 1) Lorentzian loop quantum gravity},
volume = {20},
year = {2003}
}
@preprint{Noui,
author = {Noui, K. and Perez, A.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Loop gravity, Spin foam models},
title = {Three dimensional loop quantum gravity: physical scalar product and spin foam models},
url = {http://arXiv.org/abs/gr-qc/0402110},
year = {2004}
}
@article{Lollrev,
author = {Loll, R.},
cited = {5 January 2005},
format = {electronic},
id = {lrr-1998-13},
journal = {Living Rev. Relativity},
keywords = {Quantum gravity, Lattice formalisms},
title = {Discrete Approaches to Quantum Gravity in Four Dimensions},
url = {http://www.livingreviews.org/lrr-1998-13},
volume = {1},
year = {1998}
}
@article{WilReg,
author = {Regge, T. and Williams, R.M.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model},
onlineversion = {http://arXiv.org/abs/gr-qc/0012035},
pages = {3964--3984},
title = {Discrete structures in gravity},
volume = {41},
year = {2000}
}
@book{Ambjorn,
address = {Berlin, Germany; New York, U.S.A.},
author = {Ambj{\o}rn, J. and Carfora, M. and Marzuoli, A.},
cited = {5 January 2005},
format = {print},
keywords = {Quantum gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/hep-th/9612069},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {The Geometry of Dynamical Triangulations},
volume = {m50},
year = {1997}
}
@incollection{Ponzano,
address = {Amsterdam, Netherlands},
author = {Ponzano, G. and Regge, T.},
booktitle = {Spectroscopic and group theoretical methods in physics: Racah memorial volume},
editor = {Bloch, F. et al.},
format = {print},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model},
publisher = {North-Holland},
title = {},
year = {1968}
}
@book{Carter,
address = {Princeton, U.S.A.},
author = {Carter, J.S. and Flath, D.E. and Saito, M.},
format = {print},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Ponzano-Regge model, Quantum groups},
publisher = {Princeton University Press},
series = {Mathematical Notes},
title = {The classical and quantum $6j$-symbols},
volume = {43},
year = {1995}
}
@article{Robertsa,
author = {Roberts, J.D.},
cited = {5 January 2005},
format = {print},
journal = {Geom. Topol.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Ponzano-Regge model},
onlineversion = {http://arXiv.org/abs/math-ph/9812013},
pages = {21--66},
title = {Classical 6j-symbols and the tetrahedron},
volume = {3},
year = {1999}
}
@article{Barrett,
author = {Barrett, J.W. and Foxon, T.J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Ponzano-Regge model},
onlineversion = {http://arXiv.org/abs/gr-qc/9310016},
pages = {543--556},
title = {Semiclassical limits of simplicial quantum gravity},
volume = {11},
year = {1994}
}
@article{Hasslacher,
author = {Hasslacher, B. and Perry, M.J.},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model},
pages = {21--24},
title = {Spin networks are simplicial quantum gravity},
volume = {103},
year = {1981}
}
@article{Ooguri,
author = {Ooguri, H.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model, Chern-Simons formalism, Topology change},
onlineversion = {http://arXiv.org/abs/hep-th/9112072},
pages = {276--304},
title = {Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge},
volume = {382},
year = {1992}
}
@article{Turaev,
author = {Turaev, V.G. and Viro, O.Y.},
format = {print},
journal = {Topology},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model},
pages = {865--902},
title = {State Sum Invariants of 3-Manifolds and Quantum $6j$-Symbols},
volume = {31},
year = {1992}
}
@article{Ion,
author = {Ionicioiu, R. and Williams, R.M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model},
onlineversion = {http://arXiv.org/abs/gr-qc/9806027},
pages = {3469--3477},
title = {Lens spaces and handlebodies in three-dimensional quantum gravity},
volume = {15},
year = {1998}
}
@article{Ionb,
author = {Ionicioiu, R.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Topology change},
pages = {1885--1894},
title = {Amplitudes for topology change in Turaev--Viro theory},
volume = {15},
year = {1998}
}
@article{Mizoguchi,
author = {Mizoguchi, S. and Tada, T.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/hep-th/9110057},
pages = {1795--1798},
title = {3-dimensional Gravity from the Turaev--Viro Invariant},
volume = {68},
year = {1992}
}
@article{Mizoguchib,
author = {Mizoguchi, S. and Tada, T.},
format = {print},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Chern-Simons formalism, WZW models},
pages = {207},
title = {3-dimensional Gravity and the Turaev--Viro Invariant},
volume = {110},
year = {1992}
}
@preprint{Taylor,
author = {Taylor, Y.U. and Woodward, C.T.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Quantum groups},
title = {$6j$ symbols for $U_q({\mathfrak{sl}}_2)$ and non-Euclidean tetrahedra},
url = {http://arXiv.org/abs/math.QA/0305113},
year = {2003}
}
@article{Oogurib,
author = {Ooguri, H. and Sasakura, N.},
cited = {5 January 2005},
format = {print},
journal = {Mod. Phys. Lett. A},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model, Chern-Simons formalism},
onlineversion = {http://arXiv.org/abs/hep-th/9108006},
pages = {3591--3600},
title = {Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity},
volume = {6},
year = {1991}
}
@article{Sasakura,
author = {Sasakura, N.},
format = {print},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model, Chern-Simons formalism},
pages = {191--206},
title = {Exact three-dimensional lattice gravities},
volume = {110},
year = {1992}
}
@article{Rama,
author = {Rama, S.K. and Sen, S.},
format = {print},
journal = {Mod. Phys. Lett. A},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Chern-Simons formalism, Three-manifolds},
pages = {2065--2076},
title = {3-D manifolds, graph invariants, and Chern-Simons theory},
volume = {7},
year = {1992}
}
@article{Turaevc,
author = {Turaev, V.G.},
format = {print},
journal = {C. R. Acad. Sci. Ser. I},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Chern-Simons formalism, Quantum groups, Three-manifolds},
pages = {395--398},
title = {Quantum invariants of $3$-manifolds and a glimpse of shadow topology},
volume = {313},
year = {1991}
}
@article{Roberts,
author = {Roberts, J.},
format = {print},
journal = {Topology},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Chern-Simons formalism, Three-manifolds},
pages = {771--788},
title = {Skein theory and Turaev--Viro invariants},
volume = {34},
year = {1995}
}
@article{Barrettb,
author = {Barrett, J.W. and Crane, L.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Wheeler-DeWitt equation},
onlineversion = {http://arXiv.org/abs/gr-qc/9609030},
pages = {2113--2121},
title = {An algebraic interpretation of the Wheeler--DeWitt equation},
volume = {14},
year = {1997}
}
@article{Hamber,
author = {Hamber, H.W. and Williams, R.M.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms},
pages = {510--532},
title = {Simplicial quantum gravity in three dimensions: Analytical and numerical results},
volume = {47},
year = {1993}
}
@article{Petryk,
author = {Petryk, R. and Schleich, K.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/0109083},
pages = {024019-1--13},
title = {Conditional probabilities in Ponzano--Regge minisuperspace},
volume = {67},
year = {2003}
}
@preprint{Colosi,
author = {Rovelli, C. and Colosi, D. and Doplicher, L. and Fairbairn, W. and Modesto, L. and Noui, K.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Observables},
title = {Background independence in a nutshell},
url = {http://arXiv.org/abs/gr-qc/0408079},
year = {2004}
}
@article{Archer,
author = {Archer, F. and Williams, R.M.},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model},
pages = {438--444},
title = {The Turaev--Viro state sum model and three-dimensional quantum gravity},
volume = {273},
year = {1991}
}
@article{Beliakova,
author = {Beliakova, A. and Durhuus, B.},
cited = {5 January 2005},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Quantum groups, Three-manifolds},
onlineversion = {http://arXiv.org/abs/hep-th/9309024},
pages = {395},
title = {Topological quantum field theory and invariants of graphs for quantum groups},
volume = {167},
year = {1995}
}
@book{Turaev1,
address = {Berlin, Germany; New York, U.S.A.},
author = {Turaev, V.G.},
format = {print},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Quantum groups, Three-manifolds},
publisher = {Walter de Gruyter},
series = {De Gruyter Studies in Mathematics},
title = {Quantum Invariants of Knots and 3-Manifolds},
volume = {18},
year = {1994}
}
@article{Garcia1,
author = {J. Manuel Garc{\'{i}}a-Islas},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/0401093},
pages = {3933--3952},
title = {Observables in 3-dimensional quantum gravity and topological invariants},
volume = {21},
year = {2004}
}
@article{Barrettc,
author = {Barrett, J.W.},
cited = {5 January 2005},
format = {print},
journal = {Int. J. Mod. Phys. A},
keywords = {2+1 gravity, Quantum gravity, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/0203018},
pages = {97--113},
title = {Geometrical measurements in three-dimensional quantum gravity},
volume = {18S2},
year = {2003}
}
@article{FreiKras,
author = {Freidel, L. and Krasnov, K.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Turaev-Viro model, Observables, Minimum length},
onlineversion = {http://arXiv.org/abs/hep-th/9804185},
pages = {351--362},
title = {Discrete spacetime volume for three-dimensional BF theory and quantum gravity},
volume = {16},
year = {1999}
}
@article{Carbone,
author = {Carbone, G. and Carfora, M. and Marzuoli, A.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Loop gravity, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/0112043},
pages = {3761--3774},
title = {Quantum states of elementary three-geometry},
volume = {19},
year = {2002}
}
@inproceedings{Baez,
address = {Berlin, Germany; New York, U.S.A.},
author = {Baez, J.C.},
booktitle = {Geometry and Quantum Physics},
cited = {5 January 2005},
conference = {Proceedings of the 38. Internationale Universit{\"{a}}tswochen f{\"{u}}r Kern- und Teilchenphysik, Schladming, Austria, January 9--16, 1999},
editor = {Gausterer, H. and Grosse, H. and Pittner, L.},
format = {print},
keywords = {Quantum gravity, Loop gravity, Spin foam models},
onlineversion = {http://arXiv.org/abs/gr-qc/9905087},
pages = {25--64},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {An Introduction to Spin Foam Models of Quantum Gravity and BF Theory},
volume = {543},
year = {2000}
}
@article{Perez,
author = {Perez, A.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, 2+1 gravity, Loop gravity, Spin foam models},
onlineversion = {http://arXiv.org/abs/gr-qc/0301113},
pages = {R43--R104},
title = {Spin foam models for quantum gravity},
volume = {20},
year = {2003}
}
@article{Davids,
author = {Davids, S.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, Regge calculus, Ponzano-Regge model},
onlineversion = {http://arXiv.org/abs/gr-qc/9807061},
pages = {924--943},
title = {Semiclassical Limits of Extended Racah Coefficients},
volume = {41},
year = {2000}
}
@article{Garcia,
author = {Manuel Garc{\'{i}}a-Islas, J.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Spin foam models},
onlineversion = {http://arXiv.org/abs/gr-qc/0307054},
pages = {445--464},
title = {(2 + 1)-dimensional quantum gravity, spin networks and asymptotics},
volume = {21},
year = {2004}
}
@article{Freidelb,
author = {Freidel, L.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B (Proc. Suppl.)},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model},
onlineversion = {http://arXiv.org/abs/gr-qc/0102098},
pages = {237--240},
title = {A Ponzano--Regge model of Lorentzian 3-dimensional gravity},
volume = {88},
year = {2000}
}
@preprint{Davidsb,
author = {Davids, S.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model},
title = {A State Sum Model for (2+1) Lorentzian Quantum Gravity},
url = {http://arXiv.org/abs/gr-qc/0110114},
year = {2001}
}
@article{Freidelc,
author = {Freidel, L. and Krasnov, K.},
cited = {5 January 2005},
format = {print},
journal = {Adv. Theor. Math. Phys.},
keywords = {Quantum gravity, Loop gravity, Spin foam models},
onlineversion = {http://arXiv.org/abs/hep-th/9807092},
pages = {1183--1247},
title = {Spin Foam Models and the Classical Action Principle},
volume = {2},
year = {1999}
}
@article{Livine,
author = {Livine, E.R. and Oeckl, R.},
cited = {5 January 2005},
format = {print},
journal = {Adv. Theor. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Supergravity, Spin foam models},
onlineversion = {http://arXiv.org/abs/hep-th/0307251},
pages = {951--1001},
title = {Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam},
volume = {7},
year = {2004}
}
@article{Freideld,
author = {Freidel, L. and Louapre, D.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Spin foam models, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/0211026},
pages = {104004},
title = {Non-perturbative summation over 3D discrete topologies},
volume = {68},
year = {2003}
}
@article{AmbLolla,
author = {Ambj{\o}rn, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/9805108},
pages = {407--434},
title = {Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change},
volume = {536},
year = {1998}
}
@article{AmbLollb,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Path integral methods, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/0002050},
pages = {924--927},
title = {A non-perturbative Lorentzian path integral for gravity},
volume = {85},
year = {2000}
}
@article{AmbLollc,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/0011276},
pages = {044011-1--17},
title = {Nonperturbative 3D Lorentzian quantum gravity},
volume = {64},
year = {2001}
}
@article{AmbLolld,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B (Proc. Suppl.)},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-lat/0011055},
pages = {689--692},
title = {Computer simulations of 3-d Lorentzian quantum gravity},
volume = {94},
year = {2001}
}
@article{AmbLolle,
author = {Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B (Proc. Suppl.)},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/0011194},
pages = {96--107},
title = {Discrete Lorentzian quantum gravity},
volume = {94},
year = {2001}
}
@article{AmbLollg,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B (Proc. Suppl.)},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-lat/0201013},
pages = {980--982},
title = {3d Lorentzian, dynamically triangulated quantum gravity},
volume = {106},
year = {2002}
}
@article{Dittrich,
author = {Dittrich, B. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/hep-th/0204210},
pages = {084016-1--15},
title = {Hexagon model for 3D Lorentzian quantum cosmology},
volume = {66},
year = {2002}
}
@article{AmbLollf,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {J. High Energy Phys.},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models, Matrix models},
onlineversion = {http://arXiv.org/abs/hep-th/0106082},
pages = {022},
title = {Lorentzian 3d Gravity with Wormholes via Matrix Models},
volume = {09},
year = {2001}
}
@article{AmbLollh,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models, Matrix models},
onlineversion = {http://arXiv.org/abs/hep-th/0307263},
pages = {255--262},
title = {Renormalization of 3d quantum gravity from matrix models},
volume = {581},
year = {2004}
}
@article{AmbLolli,
author = {Ambj{\o}rn, J. and Jurkiewicz, J. and Loll, R. and Vernizzi, G.},
cited = {5 January 2005},
format = {print},
journal = {Acta Phys. Pol. B},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Sum over topologies, Spacetime foam models, Matrix models},
onlineversion = {http://arXiv.org/abs/hep-th/0311072},
pages = {4667--4688},
title = {3D Lorentzian Quantum Gravity from the asymmetric ABAB matrix model},
volume = {34},
year = {2003}
}
@article{tHoofte,
author = {'t Hooft, G.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Point sources},
onlineversion = {http://arXiv.org/abs/gr-qc/9305008},
pages = {1653--1664},
title = {Canonical Quantization of Gravitating Point Particles in 2+1 Dimensions},
volume = {10},
year = {1993}
}
@article{tHooftf,
author = {'t Hooft, G.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms, Point sources},
onlineversion = {http://arXiv.org/abs/gr-qc/9601014},
pages = {1023--1040},
title = {Quantization of Point Particles in 2+1 Dimensional Gravity and Space-Time Discreteness},
volume = {13},
year = {1996}
}
@inproceedings{Crisc,
address = {Montreal, Canada},
author = {Criscuolo, A. and Quevedo, H. and Waelbroeck, H.},
booktitle = {Field Theory, Integrable Systems and Symmetries},
conference = {Lectures from the Congress of the Canadian Association of Physicists (CAP) held in Qu{\'{e}}bec City, June 11--16, 1995},
editor = {Khanna, F. and Vinet, L.},
format = {print},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/gr-qc/9509041},
publisher = {CRM},
title = {Quantization of (2+1) gravity on the torus},
year = {1997}
}
@article{Waelq,
author = {Waelbroeck, H.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Lattice formalisms},
onlineversion = {http://arXiv.org/abs/gr-qc/9401022},
pages = {4982--4992},
title = {Canonical quantization of (2+1)-dimensional gravity},
volume = {50},
year = {1994}
}
@article{Dirac,
author = {Dirac, P.A.M.},
format = {print},
journal = {Can. J. Math.},
keywords = {Hamiltonian systems, Constraints},
pages = {129--148},
title = {Generalized Hamiltonian dynamics},
volume = {2},
year = {1950}
}
@article{Diracb,
author = {Dirac, P.A.M.},
format = {print},
journal = {Can. J. Math.},
keywords = {Hamiltonian systems, Constraints, Field theory},
pages = {1},
title = {The Hamiltonian form of field dynamics},
volume = {3},
year = {1951}
}
@article{Diracc,
author = {Dirac, P.A.M.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Hamiltonian systems, Constraints},
pages = {326},
title = {Generalized Hamilton dynamics},
volume = {246},
year = {1958}
}
@article{DeWittb,
author = {DeWitt, B.S.},
format = {print},
journal = {Phys. Rev.},
keywords = {Quantum gravity, Canonical quantum gravity, Wheeler-DeWitt equation},
pages = {1113--1148},
title = {Quantum Theory of Gravity. I. The Canonical Theory},
volume = {160},
year = {1967}
}
@inproceedings{Wheeler,
address = {New York, U.S.A.},
author = {Wheeler, J.A.},
booktitle = {Battelle Rencontres: 1967 Lectures in Mathematics and Physics},
editor = {DeWitt, C. and Wheeler, J.A.},
format = {print},
keywords = {Quantum gravity, Canonical quantum gravity, Wheeler-DeWitt equation},
publisher = {W.A. Benjamin},
title = {Superspace and the nature of quantum geometrodynamics},
year = {1968}
}
@article{Carlip10,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Constraints, Wheeler-DeWitt equation},
onlineversion = {http://arXiv.org/abs/gr-qc/9309002},
pages = {31},
title = {Notes on the (2+1)-Dimensional Wheeler--DeWitt Equation},
volume = {11},
year = {1994}
}
@article{Woodard,
author = {Woodard, R.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, Constraints, Wheeler-DeWitt equation},
pages = {483--496},
title = {Enforcing the Wheeler--DeWitt constraint the easy way},
volume = {10},
year = {1993}
}
@article{Marolfb,
author = {Giulini, D. and Marolf, D.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum mechanics, Constraints},
onlineversion = {http://arXiv.org/abs/gr-qc/9812024},
pages = {2479--2488},
title = {On the Generality of Refined Algebraic Quantization},
volume = {16},
year = {1999}
}
@article{Banks,
author = {Banks, T. and Fischler, W. and Susskind, L.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Wheeler-DeWitt equation, Quantum cosmology, Perturbation methods},
pages = {159--186},
title = {Quantum cosmology in 2+1 and 3+1 dimensions},
volume = {262},
year = {1985}
}
@article{Leut,
author = {Leutwyler, H.},
format = {print},
journal = {Nuovo Cimento},
keywords = {2+1 gravity, Quantum gravity, Wheeler-DeWitt equation},
pages = {159},
title = {},
volume = {42},
year = {1966}
}
@article{Makela,
author = {J. M{\"{a}}kel{\"{a}}},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Wheeler-DeWitt equation, Lattice formalisms},
pages = {1679--1686},
title = {Simplicial Wheeler--DeWitt equation in 2+1 spacetime dimensions},
volume = {48},
year = {1993}
}
@article{Carlip11,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Path integral methods},
onlineversion = {http://arXiv.org/abs/gr-qc/9504033},
pages = {2201--2208},
title = {A Phase Space Path Integral for (2+1)-Dimensional Gravity},
volume = {12},
year = {1995}
}
@article{Seriu,
author = {Seriu, M.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Path integral methods},
onlineversion = {http://arXiv.org/abs/gr-qc/9609052},
pages = {781--790},
title = {Partition Function for (2+1)-Dimensional Einstein Gravity},
volume = {55},
year = {1997}
}
@article{RaySinger,
author = {Ray, D.B. and Singer, I.M.},
format = {print},
journal = {Adv. Math.},
keywords = {Differential geometry, Topology, Topological invariants, Ray-Singer torsion},
pages = {145--210},
title = {$R$-torsion and the Laplacian on Riemannian manifolds},
volume = {7},
year = {1971}
}
@article{Wu,
author = {Wu, S.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Topological field theory},
pages = {157--168},
title = {Topological quantum field theories on manifolds with a boundary},
volume = {136},
year = {1991}
}
@article{CarCos,
author = {Carlip, S. and Cosgrove, R.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, Topology change},
onlineversion = {http://arXiv.org/abs/gr-qc/9406006},
pages = {5477--5493},
title = {Topology Change in (2+1)-Dimensional Gravity},
volume = {35},
year = {1994}
}
@article{Amano,
author = {Amano, A. and Higuchi, S.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Chern-Simons formalism, Topology change},
onlineversion = {http://arXiv.org/abs/hep-th/9201075},
pages = {218--235},
title = {Topology change in ISO(2,1) Chern--Simons gravity},
volume = {377},
year = {1992}
}
@incollection{Hawking,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Hawking, S.W.},
booktitle = {General Relativity: An Einstein Centenary Survey},
editor = {Hawking, S.W. and Israel, W.},
format = {print},
keywords = {Quantum gravity, Path integral methods, Quantum cosmology},
pages = {},
publisher = {Cambridge University Press},
title = {},
year = {1979}
}
@article{Hartle,
author = {Hartle, J.B. and Hawking, S.W.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Path integral methods, Quantum cosmology},
pages = {2960--2975},
title = {Wave function of the Universe},
volume = {28},
year = {1983}
}
@article{Gibbons,
author = {Gibbons, G.W. and Hartle, J.B.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Path integral methods, Quantum cosmology, Topology change},
pages = {2458--2468},
title = {Real tunneling geometries and the large-scale topology of the universe},
volume = {42},
year = {1990}
}
@article{Gibbonsb,
author = {Gibbons, G.W. and Hawking, S.W. and Perry, M.J.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Quantum gravity, Path integral methods},
pages = {141--150},
title = {Path integrals and the indefiniteness of the gravitational action},
volume = {138},
year = {1978}
}
@article{Dasgupta,
author = {Dasgupta, A. and Loll, R.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Quantum gravity, Path integral methods},
onlineversion = {http://arXiv.org/abs/hep-th/0103186},
pages = {357--379},
title = {A proper-time cure for the conformal sickness in quantum gravity},
volume = {606},
year = {2001}
}
@article{Dasguptab,
author = {Dasgupta, A.},
cited = {5 January 2005},
format = {print},
journal = {J. High Energy Phys.},
keywords = {Quantum gravity, Path integral methods},
onlineversion = {http://arXiv.org/abs/hep-th/0202018},
pages = {062},
title = {The Real Wick Rotations in Quantum Gravity},
volume = {07},
year = {2002}
}
@article{Mazur,
author = {Mazur, P.O. and Mottola, E.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Quantum gravity, Path integral methods},
pages = {187--212},
title = {The path integral measure, conformal factor problem and stability of the ground state of quantum gravity},
volume = {341},
year = {1990}
}
@article{Fujiwarab,
author = {Fujiwara, Y. and Higuchi, S. and Hosoya, A. and Mishima, T. and Siino, M.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Path integral methods, Quantum cosmology, Topology change},
pages = {1756--1762},
title = {Nucleation of a universe in (2+1)-dimensional gravity with a negative cosmological constant},
volume = {44},
year = {2001}
}
@article{Carlip12,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Path integral methods, Quantum cosmology, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/9206103},
pages = {207--218},
title = {The Sum over Topologies in Three-Dimensional Euclidean Quantum Gravity},
volume = {10},
year = {1993}
}
@article{Carlip13,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Path integral methods, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/9205022},
pages = {4387--4395},
title = {Entropy versus action in the (2 + 1)-dimensional Hartle--Hawking wave function},
volume = {46},
year = {1992}
}
@article{Carlip14,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Quantum gravity, Path integral methods, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/gr-qc/9708026},
pages = {4071--4074},
title = {Spacetime Foam and the Cosmological Constant},
volume = {79},
year = {1997}
}
@article{Carlip15,
author = {Carlip, S.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Path integral methods, Quantum cosmology, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/gr-qc/9710114},
pages = {2629--2638},
title = {Dominant Topologies in Euclidean Quantum Gravity},
volume = {15},
year = {1998}
}
@article{RatTsch1,
author = {Ratcliffe, J.G. and Tschantz, S.T.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, Path integral methods, Spacetime foam models, Differential geometry},
onlineversion = {http://arXiv.org/abs/gr-qc/0009004},
pages = {2999--3007},
title = {On the Growth of the Number of Hyperbolic Gravitational Instantons with Respect to Volume},
volume = {17},
year = {2000}
}
@article{Anderson,
author = {Anderson, M. and Carlip, S. and Ratcliffe, J.G. and Surya, S. and Tschantz, S.T.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, Path integral methods, Quantum cosmology, Spacetime foam models, Differential geometry},
onlineversion = {http://arXiv.org/abs/gr-qc/0310002},
pages = {729--742},
title = {Peaks in the Hartle--Hawking Wave Function from Sums over Topologies},
volume = {21},
year = {2004}
}
@article{Boulatov,
author = {Boulatov, D.},
cited = {5 January 2005},
format = {print},
journal = {Mod. Phys. Lett. A},
keywords = {2+1 gravity, Turaev-Viro model, Spacetime foam models},
onlineversion = {http://arXiv.org/abs/hep-th/9202074},
pages = {1629--1646},
title = {A Model of Three-Dimensional Lattice Gravity},
volume = {7},
year = {1992}
}
@preprint{Farey,
author = {Dijkgraaf, R. and Maldacena, J.M. and Moore, G.W. and Verlinde, E.},
cited = {5 January 2005},
format = {arxiv},
keywords = {Black holes, String theory, Spacetime foam models},
title = {A Black Hole Farey Tail},
url = {http://arXiv.org/abs/hep-th/0005003},
year = {2000}
}
@article{Minassian,
author = {Minassian, E.A.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Singularities},
onlineversion = {http://arXiv.org/abs/gr-qc/0203026},
pages = {5877--5901},
title = {Spacetime Singularities in (2+1)-Dimensional Quantum Gravity},
volume = {19},
year = {2002}
}
@article{Hosoya,
author = {Hosoya, A.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, Singularities},
pages = {2967--2975},
title = {Quantum smearing of spacetime singularity},
volume = {12},
year = {1995}
}
@preprint{Nouib,
author = {Noui, K. and Perez, A.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Loop gravity, Point sources, Spin foam models},
title = {Three dimensional loop quantum gravity: coupling to point particles},
url = {http://arXiv.org/abs/gr-qc/0402111},
year = {2004}
}
@article{Rovellix,
author = {Rovelli, C.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Regge calculus, Ponzano-Regge model, Turaev-Viro model, Loop gravity, Minimum length},
onlineversion = {http://arXiv.org/abs/hep-th/9304164},
pages = {2702--2707},
title = {The basis of the Ponzano--Regge--Turaev--Viro--Ooguri model is the loop representation basis},
volume = {48},
year = {1993}
}
@article{Amelino,
author = {Amelino-Camelia, G.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {Quantum gravity, Observational tests of quantum gravity, Minimum length},
onlineversion = {http://arXiv.org/abs/hep-th/012238},
pages = {255--263},
title = {Testable scenario for relativity with minimum length},
volume = {510},
year = {2001}
}
@article{Mag,
author = {Magueijo, J. and Smolin, L.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quantum gravity, Observational tests of quantum gravity, Minimum length, Doubly special relativity},
onlineversion = {http://arXiv.org/abs/hep-th/0112090},
pages = {190403},
title = {Lorentz invariance with an invariant energy scale},
volume = {88},
year = {2002}
}
@preprint{Kowalski,
author = {Kowalski-Glikman, J.},
cited = {5 January 2005},
format = {arxiv},
keywords = {Quantum gravity, Minimum length, Doubly special relativity},
title = {Introduction to Doubly Special Relativity},
url = {http://arXiv.org/abs/hep-th/0405273},
year = {2004}
}
@article{FreiKow,
author = {Freidel, L. and Kowalski-Glikman, J. and Smolin, L.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Minimum length, Doubly special relativity},
onlineversion = {http://arXiv.org/abs/hep-th/0307085},
pages = {044001},
title = {2+1 gravity and Doubly Special Relativity},
volume = {69},
year = {2004}
}
@article{Amelinob,
author = {Amelino-Camelia, G. and Smolin, L. and Starodubtsev, A.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quantum gravity, Observational tests of quantum gravity, Minimum length, Doubly special relativity},
onlineversion = {http://arXiv.org/abs/hep-th/0306134},
pages = {3095--3110},
title = {Quantum symmetry, the cosmological constant and Planck scale phenomenology},
volume = {21},
year = {2004}
}
@article{Welling2,
author = {Welling, M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Point sources, Noncommutative geometry},
onlineversion = {http://arXiv.org/abs/gr-qc/9703058},
pages = {3313--3326},
title = {Two particle Quantummechanics in 2+1 Gravity using Non Commuting},
volume = {14},
year = {1997}
}
@preprint{Balles,
author = {Ballesteros, A. and Rossano Bruno, N. and Herranz, F.J.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Quantum gravity, Noncommutative geometry},
title = {Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti)de Sitter groups},
url = {http://arXiv.org/abs/hep-th/0401244},
year = {2004}
}
@book{Clarke,
address = {Cambridge, U.K.},
author = {Clarke, C.J.S.},
format = {print},
keywords = {Singularities},
publisher = {Cambridge University Press},
series = {Cambridge Lecture Notes in Physics},
title = {The Analysis of Space-Time Singularities},
year = {1993}
}
@article{Valtancoli,
author = {Valtancoli, P.},
cited = {5 January 2005},
format = {print},
journal = {Int. J. Mod. Phys. A},
keywords = {2+1 gravity, Exact solutions, Point sources, ADM formalism},
onlineversion = {http://arXiv.org/abs/hep-th/9907174},
pages = {2817--2839},
title = {(2+1)-AdS Gravity on Riemann Surfaces},
volume = {16},
year = {2001}
}
@unpublished{Kugo,
author = {Kugo, T.},
format = {unknown},
keywords = {2+1 gravity, Quantum gravity, Nonrenormalizability of gravity, Quantum field theory},
note = {Kyoto preprint KUNS 1014 HE(TH)90/05 (1990)},
title = {}
}
@article{Mizoguchic,
author = {Mizoguchi, S. and Yamamoto, H.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Quantum gravity, Nonrenormalizability of gravity, Quantum field theory},
onlineversion = {http://arXiv.org/abs/hep-th/9307131},
pages = {7351--7362},
title = {On the stability of renormalizable expansions in three-dimensional gravity},
volume = {50},
year = {1994}
}
@article{Anselmi,
author = {Anselmi, D.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Nonrenormalizability of gravity, Quantum field theory},
onlineversion = {http://arXiv.org/abs/hep-th/0309249},
pages = {143--160},
title = {Renormalization of quantum gravity coupled with matter in three dimensions},
volume = {687},
year = {2004}
}
@article{Anselmib,
author = {Anselmi, D.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Quantum gravity, Nonrenormalizability of gravity, Quantum field theory},
onlineversion = {http://arXiv.org/abs/hep-th/0309250},
pages = {124--142},
title = {Finiteness of quantum gravity coupled with matter in three spacetime dimensions},
volume = {687},
year = {2004}
}
@article{deWit,
author = {de Wit, B. and Matschull, H.-J. and Nicolai, H.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Canonical quantum gravity, Supergravity, Wheeler-DeWitt equation},
onlineversion = {http://arXiv.org/abs/gr-qc/9309006},
pages = {115--121},
title = {Physical States in d=3,N=2 Supergravity},
volume = {318},
year = {1993}
}
@article{Matschullb,
author = {Matschull, H.-J. and Nicolai, H.},
cited = {5 January 2005},
format = {print},
journal = {Nucl. Phys. B},
keywords = {2+1 gravity, Canonical quantum gravity, Supergravity, Wheeler-DeWitt equation},
onlineversion = {http://arXiv.org/abs/gr-qc/9306018},
pages = {609--649},
title = {Canonical quantum supergravity in three dimensions},
volume = {411},
year = {1994}
}
@article{Ashtekare,
author = {Ashtekar, A.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {2+1 gravity, Quantum gravity, Midisuperspace},
onlineversion = {http://arXiv.org/abs/gr-qc/9610008},
pages = {4864--4867},
title = {Large quantum gravity effects: Unexpected limitations of the classical theory},
volume = {77},
year = {1996}
}
@article{AshtekarPierri,
author = {Ashtekar, A. and Pierri, M.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Midisuperspace},
onlineversion = {http://arXiv.org/abs/gr-qc/9606085},
pages = {6250--6270},
title = {Probing Quantum Gravity Through Exactly Soluble Midi-Superspaces I},
volume = {37},
year = {1996}
}
@article{Gambinib,
author = {Gambini, R. and Pullin, J.},
cited = {5 January 2005},
format = {print},
journal = {Mod. Phys. Lett. A},
keywords = {2+1 gravity, Quantum gravity, Midisuperspace},
onlineversion = {http://arXiv.org/abs/gr-qc/9703088},
pages = {2407--2414},
title = {Large quantum gravity effects: backreaction on matter},
volume = {12},
year = {1997}
}
@article{Beetle,
author = {Beetle, C.},
cited = {5 January 2005},
format = {print},
journal = {Adv. Theor. Math. Phys.},
keywords = {2+1 gravity, Quantum gravity, Midisuperspace},
onlineversion = {http://arXiv.org/abs/gr-qc/9801107},
pages = {471--495},
title = {Midi-Superspace Quantization of Non-Compact Toroidally Symmetric Gravity},
volume = {2},
year = {1998}
}
@article{Varadarajanc,
author = {Varadarajan, M.},
cited = {5 January 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {2+1 gravity, Quantum gravity, Midisuperspace, Observables},
onlineversion = {http://arXiv.org/abs/gr-qc/9910043},
pages = {189--199},
title = {On the metric operator for quantum cylindrical waves},
volume = {17},
year = {2000}
}
@article{Pierri,
author = {Pierri, M.},
cited = {5 January 2005},
format = {print},
journal = {Int. J. Mod. Phys. D},
keywords = {2+1 gravity, Quantum gravity, Midisuperspace},
onlineversion = {http://arXiv.org/abs/gr-qc/0101013},
pages = {135},
title = {Probing Quantum General Relativity Through Exactly Soluble Midi-Superspaces II: Polarized Gowdy Models},
volume = {11},
year = {2002}
}
@article{Geg1,
author = {Gegenberg, J. and Kunstatter, G. and Leivo, H.P.},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Topological field theory},
pages = {381--386},
title = {Topological matter coupled to gravity in 2 + 1 dimensions},
volume = {252},
year = {1990}
}
@article{Geg2,
author = {Carlip, S. and Gegenberg, J.},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Topological field theory},
pages = {424--428},
title = {Gravitating topological matter in 2+1 dimensions},
volume = {44},
year = {1991}
}
@article{DeWitt,
author = {DeWitt, B.S.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quantum gravity, Quantum field theory, Nonrenormalizability of gravity},
pages = {114--118},
title = {Gravity: a Universal Regulator?},
volume = {13},
year = {1964}
}
@article{Ishamc,
author = {Isham, C.J. and Salam, A. and Strathdee, J.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Quantum field theory, Nonrenormalizability of gravity},
pages = {1805--1817},
title = {Infinity Suppression in Gravity-Modified Quantum Electrodynamics},
volume = {3},
year = {1971}
}
@article{Ishamd,
author = {Isham, C.J. and Salam, A. and Strathdee, J.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quantum gravity, Quantum field theory, Nonrenormalizability of gravity},
pages = {2548--2565},
title = {Infinity Suppression in Gravity-Modified Electrodynamics. II},
volume = {5},
year = {1972}
}
@article{Wittene,
author = {Witten, E.},
cited = {5 January 2005},
format = {print},
journal = {Int. J. Mod. Phys. A},
keywords = {2+1 gravity, Supergravity, Supersymmetry, Cosmological constant},
onlineversion = {http://arXiv.org/abs/hep-th/9409111},
pages = {1247--1248},
title = {Is Supersymmetry Really Broken?},
volume = {10},
year = {1995}
}
@article{StromBecker,
author = {Becker, K. and Becker, M. and Strominger, A.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {2+1 gravity, Supergravity, Supersymmetry, Cosmological constant},
onlineversion = {http://arXiv.org/abs/hep-th/9502107},
pages = {6603--6607},
title = {Three-Dimensional Supergravity and the Cosmological Constant},
volume = {51},
year = {1995}
}
@article{Jejjala,
author = {Jejjala, V. and Leigh, R.G. and Minic, D.},
cited = {5 January 2005},
format = {print},
journal = {Phys. Lett. B},
keywords = {2+1 gravity, Cosmological constant, Quantum field theory, Kaluza-Klein theory},
onlineversion = {http://arXiv.org/abs/hep-th/0212057},
pages = {71--79},
title = {The Cosmological Constant and the Deconstruction of Gravity},
volume = {556},
year = {2003}
}
@article{Forni,
author = {Forni, D.M. and Iriondo, M. and Kozameh, C.N.},
cited = {5 January 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {2+1 gravity, Null surfaces},
onlineversion = {http://arXiv.org/abs/gr-qc/0005120},
pages = {5517--5534},
title = {Null surfaces formulation in 3D},
volume = {41},
year = {2000}
}
@preprint{Gambinic,
author = {Gambini, R. and Pullin, J.},
cited = {5 January 2005},
format = {arxiv},
keywords = {2+1 gravity, Lattice formalisms, Einstein constraints},
title = {Consistent discretization and loop quantum geometry},
url = {http://arXiv.org/abs/gr-qc/0409057},
year = {2004}
}