# Combinatorial Heegaard Floer homology and nice Heegaard diagrams

## Author(s): Ozsvath, Peter Steven; Stipsicz, Andras I; Szabo, Zoltan

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 Abstract: We consider a stabilized version of (HF) over cap of a 3-manifold Y (i.e. the U = 0 variant of Heegaard Floer homology for closed 3-manifolds). We give a combinatorial algorithm for constructing this invariant, starting from a Heegaard decomposition for Y, and give a topological proof of its invariance properties. (C) 2012 Elsevier Inc. All rights reserved. Publication Date: 10-Sep-2012 Electronic Publication Date: 31-May-2012 Citation: Ozsvath, Peter, Stipsicz, Andras I, Szabo, Zoltan. (2012). Combinatorial Heegaard Floer homology and nice Heegaard diagrams. ADVANCES IN MATHEMATICS, 231 (102 - 171. doi:10.1016/j.aim.2012.04.008 DOI: doi:10.1016/j.aim.2012.04.008 ISSN: 0001-8708 Pages: 102 - 171 Type of Material: Journal Article Journal/Proceeding Title: ADVANCES IN MATHEMATICS Version: Final published version. Article is made available in OAR by the publisher's permission or policy.