Chern-Simons theory and knot invariants

Geometry Topology Student Seminar
Wednesday, September 10, 2014 - 14:00
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
We will present an introduction to gauge theory and classical Chern-Simons theory, a 3-dimensional topological gauge field theory whose quantization yields new insights about knot invariants such as the Jones polynomial. Then we will give a sketch of quantum Chern-Simons theory and how Witten used it as a 3-dimensional method to obtain the Jones polynomial, as well as how it may be used to obtain other powerful knot and 3-manifold invariants. No physics background is necessary.