Heegaard Floer homologies and contact structures

dc.creatorOzsvath, Peter
dc.creatorSzabo, Zoltan
dc.date2002-10-08
dc.date.accessioned2026-07-07T04:51:45Z
dc.date.available2026-07-07T04:51:45Z
dc.descriptionGiven a contact structure on a closed, oriented three-manifold $Y$, we describe an invariant which takes values in the three-manifold's Floer homology $\HFa$. This invariant vanishes for overtwisted contact structures and is non-zero for Stein fillable ones. The construction uses of Giroux's interpretation of contact structures in terms of open book decompositions, and the knot Floer homologies introduced in math.GT/0209056.
dc.description22 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0210127
dc.identifierhttp://arxiv.org/abs/math/0210127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65222
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.titleHeegaard Floer homologies and contact structures
dc.typetext

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