Heegaard Floer invariants of Legendrian knots in contact three--manifolds

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dc.creatorLisca, Paolo
dc.creatorOzsváth, Peter
dc.creatorStipsicz, András I.
dc.creatorSzabó, Zoltán
dc.date2008-02-05
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:07Z
dc.date.available2026-07-07T13:06:07Z
dc.descriptionWe define invariants of null--homologous Legendrian and transverse knots in contact 3--manifolds. The invariants are determined by elements of the knot Floer homology of the underlying smooth knot. We compute these invariants, and show that they do not vanish for certain non--loose knots in overtwisted 3--spheres. Moreover, we apply the invariants to find transversely non--simple knot types in many overtwisted contact 3--manifolds.
dc.description70 pages, 30 figures
dc.identifierhttps://arxiv.org/abs/0802.0628
dc.identifierhttp://arxiv.org/abs/0802.0628
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227682
dc.subjectSymplectic Geometry
dc.subjectGeometric Topology
dc.subject57M27; 57R58
dc.titleHeegaard Floer invariants of Legendrian knots in contact three--manifolds
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