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2 Classical Gravity in 2+1 Dimensions

The first step towards quantizing (2+1)-dimensional general relativity is to understand the space of classical solutions. One of the principal advantages of working in 2+1 dimensions is that for simple enough topologies, this space can be characterized completely and explicitly. Indeed, there are several such characterizations, each leading naturally to a different approach to the quantum theory; by understanding the relationships among these approaches, one can gain important insights into the structure of quantum gravity.

  2.1 Why (2+1)-dimensional gravity is simple
  2.2 Geometric structures
  2.3 The Chern-Simons formulation
  2.4 The ADM approach
  2.5 Exact discrete approaches
  2.6 Large diffeomorphisms
  2.7 The torus universe
  2.8 Dynamics

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