Applications of involutive Heegaard Floer homology

Kristen Hendricks; Jennifer Hom; Tye Lidman

doi:10.1017/s147474801900015x

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arXiv · 1802.02008

Applications of involutive Heegaard Floer homology

Kristen Hendricks·Jennifer Hom·Tye Lidman

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Abstract

We use Heegaard Floer homology to define an invariant of homology cobordism. This invariant is isomorphic to a summand of the reduced Heegaard Floer homology of a rational homology sphere equipped with a spin structure and is analogous to Stoffregen's connected Seiberg-Witten Floer homology. We use this invariant to study the structure of the homology cobordism group and, along the way, compute the involutive correction terms for certain families of three-manifolds.

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BibTeX RIS

Kristen Hendricks, Jennifer Hom, Tye Lidman. 2018-02-06. Applications of involutive Heegaard Floer homology. https://doi.org/10.1017/s147474801900015x

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