1 November 2008 Combinatorial cobordism maps in hat Heegaard Floer theory
Robert Lipshitz, Ciprian Manolescu, Jiajun Wang
Author Affiliations +
Duke Math. J. 145(2): 207-247 (1 November 2008). DOI: 10.1215/00127094-2008-050

Abstract

In a previous article, Sarkar and Wang [15] gave a combinatorial description of the hat version of Heegaard Floer homology for three-manifolds. Given a cobordism between two connected three-manifolds, there is an induced map between their Heegaard Floer homologies. Assume that the first homology group of each boundary component surjects onto the first homology group of the cobordism (modulo torsion). Under this assumption, we present a procedure for finding the rank of the induced Heegaard Floer map combinatorially, in the hat version

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Robert Lipshitz. Ciprian Manolescu. Jiajun Wang. "Combinatorial cobordism maps in hat Heegaard Floer theory." Duke Math. J. 145 (2) 207 - 247, 1 November 2008. https://doi.org/10.1215/00127094-2008-050

Information

Published: 1 November 2008
First available in Project Euclid: 20 October 2008

zbMATH: 1153.57027
MathSciNet: MR2449946
Digital Object Identifier: 10.1215/00127094-2008-050

Subjects:
Primary: 57R58
Secondary: 57R56

Rights: Copyright © 2008 Duke University Press

Vol.145 • No. 2 • 1 November 2008
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