Heegaard Floer and homology cobordism

GAUGE-TOPOLOGY-SYMPLECTIC

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April 26, 2019 3:30 pm - 4:30 pm

Science Center 507

Website:https://scholar.harvard.edu/gerig/seminar

Address: 1 Oxford Street, Cambridge, MA 02138 USA

Speaker:

Jennifer Hom - Georgia Tech

Abstract:

We show that the three-dimensional homology cobordism group admits an infinite-rank summand. It was previously known that the homology cobordism group contains an infinite-rank subgroup and a Z-summand. The proof relies on the involutive Heegaard Floer homology package of Hendricks-Manolescu and Hendricks-Manolescu-Zemke. This is joint work with I. Dai, M. Stoffregen, and L. Truong.