Knot Floer homology and monodromy

Date: 2020-10-29

Time: 14:00 - 15:00

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Paolo Ghiggini

I will prove that knot Floer homology of a fibred knot, in the second lowest Alexander grading, is isomorphic to a version of the fixed point Floer homology of an area preserving representative of the monodromy. The proof relies on adapting the open-closed map of Colin-Ghiggini-Honda and comparing two exact sequences: Seidel’s Dehn twist exact sequence for fixed point Floer homology and Ozsváth-Szabó’s surgery exact sequence for knot Floer homology. This is a joint work with Gilberto Spano.