GT Seminar with Paolo Ghiggini (Institut Fourier Grenoble)
- Date: –14:15
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 room Å64119 and on zoom https://uu-se.zoom.us/j/68210068219
- Lecturer: Paolo Ghiggini (Institut Fourier Grenoble)
- Organiser: Matematiska institutionen
- Contact person: Noémie Legout
Welcome to this seminar held by Paolo Ghiggini with title "Heegaard Floer homology as a Floer field theory and genus two mutations".
Abstract: I will show that the hat version of Heegaard Floer homology can be cast into a modified version of Wehrheim and Wodward's Floer field theory: roughly speaking, a 2+1 TQFT with values in compact Fukaya categories. The main difference from previous unpublished work by Lekili and Perutz is that we use a "cylindrical reformulation" of the Fukaya category of a symmetric product allowing us to avoid quilted Floer homology. As an application, I will show that the total rank of Heegaard Floer homology is not changed by a surgery operation called "genus two mutation". This is a work in progress in collaboration with Ina Petkova.
See upcoming seminars in our seminar series on Geometry and Topology (GT).