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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 poorly-understood. In this talk, I will discuss a connection between Khovanov’s categorification of the reduced n-colored 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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