Abstract
1 Introduction
2 Quantum Gravity: Where are We?
2.1 What is the ...
2.2 What is the ...
2.3 Strings or loops?
3 History of Loop Quantum Gravity, Main Steps
4 Resources
5 Main Ideas and Physical Inputs
5.1 Quantum field theory ...
5.2 One additional assumption
5.3 Physical meaning of ...
5.4 Problems not addressed
6 The Formalism
6.1 Loop algebra
6.2 Loop quantum gravity
6.3 Loop states and ...
6.4 Relation between spin ...
6.5 The representation
6.6 Algebraic version (``loop ...
6.7 Other structures in ...
6.8 Diffeomorphism invariance
6.9 Dynamics
6.10 Unfreezing the frozen ...
7 Physical Results
7.1 Technical
7.2 Physical
8 Main Open Problems and Main Current Lines of Investigation
9 Short Summary and Conclusion
9.1 Conclusion
10 Acknowledgments
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