This is an introduction to loop quantum gravity and its associated mathematics, with a focus on quantizing the geometry of 3-dimensional piecewise-linear manifolds. I gave this at Dennis Sullivan's seminar.

You can see videos here:

For more try these papers:- Loop Quantum Gravity by Carlo Rovelli.
- Spin Networks in Nonperturbative Quantum Gravity by John Baez.
- An Introduction to Spin Foam Models of BF Theory and Quantum Gravity by John Baez.

© 2000 John Baez

baez@math.removethis.ucr.andthis.edu