Gauge Theory and Topology Seminar: Bordered aspects of the Heegaard Floer surgery formulas

Gauge Theory and Topology Seminar, SEMINARS

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September 30, 2022 3:30 pm - 4:30 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Ian Zemke - Princeton University

In this talk, we will discuss bordered aspects of the Heegaard Floer surgery formulas of  Ozsvath--Szabo and Manolescu--Ozsvath. In particular, we will explain how their theories naturally define bordered invariants for manifolds with toroidal boundary components. Time permitting, we will discuss applications of the theory. One application is a proof of the equivalence of lattice homology and Heegaard Floer homology. Another application is a description of the link Floer complexes of algebraic links, which is parallel to Ozsvath and Szabo's description of the knot Floer complex of an L-space link. The latter application is joint with M. Borodzik and B. Liu.