Colored Khovanov homology and sutured Floer homology
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If you have a question about this talk, please contact Jake Rasmussen.
The relationship between categorifications of quantum knot polynomials
and Floer homology invariants is intriguing and still
poorlyunderstood. In this talk, I will discuss a connection between
Khovanov’s categorification of the reduced ncolored Jones polynomial
and sutured Floer homology, a relative version of Heegaard Floer
homology recently developed by Andras Juhasz. As an application, I
will prove that Khovanov’s categorification detects the unknot when n
> 1.
This talk is part of the Differential Geometry and Topology Seminar series.
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