APPLICATIONS of INVOLUTIVE HEEGAARD FLOER HOMOLOGY

Kristen Hendricks, Jennifer Hom, Tye Lidman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 and for certain families of three-manifolds.

Original languageEnglish (US)
Pages (from-to)187-224
Number of pages38
JournalJournal of the Institute of Mathematics of Jussieu
Volume20
Issue number1
DOIs
StatePublished - Jan 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • 2010 Mathematics subject classification 57M27 57M58

Fingerprint Dive into the research topics of 'APPLICATIONS of INVOLUTIVE HEEGAARD FLOER HOMOLOGY'. Together they form a unique fingerprint.

Cite this