English

Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Geometric Topology 2012-01-23 v3

Abstract

We consider a stabilized version of hat Heegaard Floer homology 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 combinatorial proof of its invariance properties.

Keywords

Cite

@article{arxiv.0912.0830,
  title  = {Combinatorial Heegaard Floer homology and nice Heegaard diagrams},
  author = {Peter S. Ozsvath and Andras I. Stipsicz and Zoltan Szabo},
  journal= {arXiv preprint arXiv:0912.0830},
  year   = {2012}
}