# Gauge Theory and Khovanov Homology

Speaker:

Edward Witten
Date:

Fri, Feb 17, 2012
Location:

PIMS, University of Washington Abstract:

After reviewing ordinary finite-dimensional Morse theory, I will explain how Morse generalized Morse theory to loop spaces, and how Floer generalized it to gauge theory on a three-manifold. Then I will describe an analog of Floer cohomology with the gauge group taken to be a complex Lie group (rather than a compact group as assumed by Floer), and how this is expected to be related to the Jones polynomial of knots and Khovanov homology.