Heegaard diagrams and holomorphic disks

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dc.creatorOzsvath, Peter
dc.creatorSzabo, Zoltan
dc.date2004-03-02
dc.date.accessioned2026-07-07T05:05:50Z
dc.date.available2026-07-07T05:05:50Z
dc.descriptionA three-manifold equipped with a Heegaard diagram can be used to set up a Floer homology theory whose differential counts pseudo-holomorphic disks in the $g$-fold symmetric product of the Heegaard surface. This leads to a topological invariant for three-manifolds, Heegaard Floer homology, which is functorial under cobordisms. In this survey article, we sketch this construction and describe some of its topological applications.
dc.description41 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0403029
dc.identifierhttp://arxiv.org/abs/math/0403029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70317
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R58; 53D40; 57M27
dc.titleHeegaard diagrams and holomorphic disks
dc.typetext

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