A connected sum formula for involutive Heegaard Floer homology

Kristen Hendricks, Ciprian Manolescu, Ian Zemke

Research output: Contribution to journalArticle

8 Scopus citations

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 d̲(Y)≠d(Y)≠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.

Original languageEnglish (US)
Pages (from-to)1183-1245
Number of pages63
JournalSelecta Mathematica, New Series
Volume24
Issue number2
DOIs
StatePublished - Apr 1 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

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