Gauge Theory and Khovanov Homology

Edward Witten
Fri, Feb 17, 2012
PIMS, University of Washington
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.
The video conversion process has failed. You might want to submit a simpler video format like mpeg or divx avi.
If the problem persists please contact website administrators.