2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224272Sarkar 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.Geometric Topology57R17Combinatorial proofs for basic properties of Ozsvath-Szabo invarianttext