## Topology Seminar (Main Talk): An infinite-rank summand of the homology cobordism group

Seminar | February 6 | 5:10-6 p.m. | 3 Evans Hall | Note change in time

Matthew Stoffregen, MIT

Department of Mathematics

We explain a generalization of the techniques that Hom introduced to construct an infinite-rank summand of the topologically slice knot concordance group. We generalize Hom's epsilon-invariant to the involutive Heegaard Floer homology constructed by Hendricks-Manolescu. As an application, we see that there is an infinite-rank summand of the homology cobordism group. This is joint work with Irving Dai, Jen Hom, and Linh Truong.

conway@berkeley.edu