Geometry/topology Seminar
Tuesday, October 20, 2009, 4:30pm, 119 Physics
Tomasz Mrowka (MIT)
Using instantons to show that Khovanov homology detects the unknot.
Abstract:- A couple of years ago Kronheimer and I revisited our work on instantons
with codimension two singularities. This leads to knot invariants associated
to each partial flag manifold. There invariants are related to Khovanov
homology for the case of $\IP1$ and Khovanov-Rozansky homology
fo $\IP^n$. We have recently understood how to use the $\IP1$
case to prove that Khovanov homology
detects the unknot. [video]
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