Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Peter S. Ozsvath; Andras I. Stipsicz; Zoltan Szabo

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arXiv · 0912.0830

Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Peter S. Ozsvath·Andras I. Stipsicz·Zoltan Szabo

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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.

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BibTeX RIS

Peter S. Ozsvath, Andras I. Stipsicz, Zoltan Szabo. 2009-12-04. Combinatorial Heegaard Floer homology and nice Heegaard diagrams. https://arxiv.org/abs/0912.0830

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