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

Gauge Theory and Topology Seminar, SEMINARS

Speaker:

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.