Duke Mathematical Journal
- Duke Math. J.
- Volume 129, Number 1 (2005), 39-61.
Heegaard Floer homology and contact structures
Peter Ozsváth and Zoltán Szabó
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Abstract
Given a contact structure on a closed, oriented three-manifold , we describe an invariant that takes values in the three-manifold's Floer homology . This invariant vanishes for overtwisted contact structures and is nonzero for Stein-fillable ones. The construction uses Giroux's interpretation of contact structures in terms of open-book decompositions.
Article information
Source
Duke Math. J., Volume 129, Number 1 (2005), 39-61.
Dates
First available in Project Euclid: 15 July 2005
Permanent link to this document
https://projecteuclid.org/euclid.dmj/1121448863
Digital Object Identifier
doi:10.1215/S0012-7094-04-12912-4
Mathematical Reviews number (MathSciNet)
MR2153455
Zentralblatt MATH identifier
1083.57042
Subjects
Primary: 57R58: Floer homology
Secondary: 53D10: Contact manifolds, general
Citation
Ozsváth, Peter; Szabó, Zoltán. Heegaard Floer homology and contact structures. Duke Math. J. 129 (2005), no. 1, 39--61. doi:10.1215/S0012-7094-04-12912-4. https://projecteuclid.org/euclid.dmj/1121448863
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Zentralblatt MATH: 0978.53133
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