In this talk, we will discuss bordered aspects of the Heegaard Floer surgery formulas of  Ozsvath–Szabo and Ozsvath–Manolescu. 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.

Zoom Meeting: Link

Meeting ID: 949 5557 4178
Passcode: 301451