Combinatorial proofs for basic properties of Ozsvath-Szabo invariant

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

Sarkar and Wang have given a combinatorial algorithm for computing Heegaard
Floer homology and Plamenevskaya has improved their method to compute
Ozsvath-Szabo invariant. In this paper, applying the combinatorial method to
stabilizations of an open book, we prove basic properties of Ozsvath-Szabo
invariant.

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