Knot Floer homology and monodromy

Knots, Strings, Symplectic Geometry and Dualities

29 October 14:00 - 15:00

Paolo Ghiggini - Université de Nantes

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.

Click here to watch the seminar

Tobias Ekholm,
Uppsala University
Sergei Gukov
California Institute of Technology, Caltech
Vivek Shende
University of California, Berkeley


Tobias Ekholm


For practical matters at the Institute, send an e-mail to