# Involutive Heegaard Floer homology and surgeries

Tuesday, May 26, 2020 4:00 PM

Ian Zemke (Princeton University)

We construct exact triangles in involutive Heegaard Floer homology, and also prove a mapping cone formula, refining Ozsvath and Szabo's mapping cone formula for ordinary Heegaard Floer homology. We describe an application to the structure of the homology cobordism group. This is joint work in progress with K. Hendricks, J. Hom and M. Stoffregen.