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An infinite rank summand of the homology cobordism group

Geometry/Topology

Speaker: Linh Truong, Columbia
Location: 2112 MSB
Start time: Tue, Feb 19 2019, 1:30PM

We show that the homology cobordism group of integer homology three-spheres contains an infinite rank summand. The proof uses an algebraic modification of the involutive Heegaard Floer package of Hendricks-Manolescu and Hendricks-Manolescu-Zemke. This is inspired by Hom's techniques in the setting of knot concordance. This is joint work with Dai, Hom and Stoffregen.