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: 1801.07770 , 2018 . [7] Çăgri Karakurt and Tye Lidman . Rank inequalities for the Heegaard Floer homology of Seifert homology spheres . Trans

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Sarkar and Wang proved that the hat version of Heegaard Floer homology group of a closed oriented 3-manifold is combinatorial starting from an arbitrary nice Heegaard diagram and in fact every closed oriented 3-manifold admits such a Heegaard diagram. Plamenevskaya showed that the contact Ozsváth-Szabó invariant is combinatorial once we are given an open book decomposition compatible with a contact structure. The idea is to combine the algorithm of Sarkar and Wang with the recent description of the contact Ozsváth-Szabó invariant due to Honda, Kazez and Matić. Here we observe that the hat version of the Heegaard Floer homology group and the contact Ozsváth-Szabó invariant in this group can be combinatorially calculated starting from a contact surgery diagram. We give detailed examples pointing out to some shortcuts in the computations.

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] E . Grigsby , D . Ruberman , and S . Strle . Knot concordance and Heegaard Floer homology invariants in branched covers

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heegaard floer homology and embedded contact homology iii: from hat to plus . 2012 . [8] Vincent Colin , Paolo Ghiggini , and Ko Honda . The equivalence of heegaard floer homology and embedded contact homology via open book decompositions i

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Academy of sciences. His research interests include symplectic topology, Lefschetz fibration, contact topology, Stein fillings of contact 3-manifolds, Seiberg-Witten and Heegaard Floer homologies as well as Legendrian and transverse knot theory. He is a