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
References