Involutive Heegaard Floer homology

Geometry Topology Student Seminar
Wednesday, December 11, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Sally Collins – Georgia Tech
Agniva Roy

Introduced by Hendricks and Manolescu in 2015, Involutive Heegaard Floer homology is a variation of the 3-manifold invariant Heegaard Floer homology which makes use of the conjugation symmetry of the Heegaard Floer complexes. This theory can be used to obtain two new invariants of homology cobordism. This talk will involve a brief overview of general Heegaard Floer homology, followed by a discussion of the involutive theory and some computations of the homology cobordism invariants.