Combinatorial Heegaard Floer homology and nice Heegaard diagrams

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

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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