A connected sum formula for involutive Heegaard Floer homology

Kristen Hendricks; Ciprian Manolescu; Ian Zemke

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arXiv · 1607.07499

A connected sum formula for involutive Heegaard Floer homology

Kristen Hendricks·Ciprian Manolescu·Ian Zemke

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Abstract

We prove a connected sum formula for involutive Heegaard Floer homology, and use it to study the involutive correction terms of connected sums. In particular, we give an example of a three-manifold with $\underline{d}(Y) \neq d(Y) \neq \overline{d}(Y)$. We also construct a homomorphism from the three-dimensional homology cobordism group to an algebraically defined Abelian group, consisting of certain complexes (equipped with a homotopy involution) modulo a notion of local equivalence.

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BibTeX RIS

Kristen Hendricks, Ciprian Manolescu, Ian Zemke. 2016-07-25. A connected sum formula for involutive Heegaard Floer homology. https://arxiv.org/abs/1607.07499

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