Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Peter Ozsváth, András I. Stipsicz, Zoltán Szabó

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageAmerican English
Pages (from-to)102-171
Number of pages70
JournalAdvances in Mathematics
Issue number1
StatePublished - Sep 10 2012

ASJC Scopus subject areas

  • General Mathematics


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


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