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Grid diagrams and Heegaard Floer invariants

Ciprian Manolescu, Peter Ozsvath, Dylan Thurston
Arxiv ID: 0910.0078Last updated: 7/2/2020
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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