Grid diagrams and Heegaard Floer invariants

Ciprian Manolescu; Peter Ozsvath; Dylan Thurston

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arXiv · 0910.0078

Grid diagrams and Heegaard Floer invariants

Ciprian Manolescu·Peter Ozsvath·Dylan Thurston

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Abstract

We give combinatorial descriptions of the Heegaard Floer homology groups for arbitrary three-manifolds (with coefficients in Z/2). The descriptions are based on presenting the three-manifold as an integer surgery on a link in the three-sphere, and then using a grid diagram for the link. We also give combinatorial descriptions of the mod 2 Ozsvath-Szabo mixed invariants of closed four-manifolds, in terms of grid diagrams.

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Ciprian Manolescu, Peter Ozsvath, Dylan Thurston. 2009-10-01. Grid diagrams and Heegaard Floer invariants. https://arxiv.org/abs/0910.0078

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