Koszul duality and Knot Floer homology

Koszul duality and Knot Floer homology

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Thomas Hockenhull, University of Glasgow
Fine Hall 224

‘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.