Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Peter Ozsváth, András I. Stipsicz, Zoltán Szabó

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We consider a stabilized version of HF̂ of a 3-manifold Y (i.e. the U=0 variant of Heegaard Floer homology for closed 3-manifolds). We give a combinatorial algorithm for constructing this invariant, starting from a Heegaard decomposition for Y, and give a topological proof of its invariance properties.

Original languageEnglish (US)
Pages (from-to)102-171
Number of pages70
JournalAdvances in Mathematics
Volume231
Issue number1
DOIs
StatePublished - Sep 10 2012

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Floer homology
  • Heegaard decompositions
  • Pair-of-pants decompositions

Fingerprint Dive into the research topics of 'Combinatorial Heegaard Floer homology and nice Heegaard diagrams'. Together they form a unique fingerprint.

Cite this