Heegaard Floer homology and Morse surgery

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dc.creatorEftekhary, Eaman
dc.date2006-03-07
dc.date2006-03-09
dc.date.accessioned2026-07-07T07:06:38Z
dc.date.available2026-07-07T07:06:38Z
dc.descriptionWe establish surgery formulas for filtration of the Heegaard Floer homology associated with p/q surgery on a null-homologous knot K in a three-manifold Y, induced by K_{p/q}. Here K_{p/q} is the core of the attached solid torus (which produces the surgery). This would generalize a result of Ozsvath and Szabo. We will re-prove that surgery on non-trivial knots can not produce S^3, as a corollary of a non-vanishing result for the knot Floer homology of K_{p/q}.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0603171
dc.identifierhttp://arxiv.org/abs/math/0603171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110097
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.titleHeegaard Floer homology and Morse surgery
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