Lie groups and Chern-Simons Theory
Geometric Topology
2022-07-25 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Witten introduced classical Chern-Simons theory to topology in 1989, when he defined an invariant for knots in 3-manifolds by an integral over a certain infinite-dimensional space, which up to today have not been entirely understood. However, they motivated lots of interesting questions and results in knot theory and low-dimensional topology, as well as the development of entirely new fields. These are lecture notes for a course in Lie groups and Chern-Simons Theory aimed at graduate students.
Keywords
Cite
@article{arxiv.2207.11062,
title = {Lie groups and Chern-Simons Theory},
author = {Benjamin Himpel},
journal= {arXiv preprint arXiv:2207.11062},
year = {2022}
}
Comments
77 pages