Koszul duality and Knot Floer homology

Geometry Topology Seminar
Monday, November 4, 2019 - 2:00pm for
Skiles 006
Tom Hockenhull – University of Glasgow
Jennifer Hom

‘Koszul duality’ is a phenomenon which algebraists are fond of, and has previously been studied in the context of '(bordered) Heegaard Floer homology' by Lipshitz, Ozsváth and Thurston. In this talk, I shall discuss an occurrence of Koszul duality which links older constructions in Heegaard Floer homology with the bordered Heegaard Floer homology of three-manifolds with torus boundary. I shan’t assume any existing knowledge of Koszul duality or any form of Heegaard Floer homology.