Unknotting information from Heegaard Floer homology

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dc.creatorOwens, Brendan
dc.date2005-06-23
dc.date.accessioned2026-07-07T05:21:06Z
dc.date.available2026-07-07T05:21:06Z
dc.descriptionWe use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of Ozsvath and Szabo's obstruction to unknotting number one. We determine the unknotting numbers of 9_10, 9_13, 9_35, 9_38, 10_53, 10_101 and 10_120; this completes the table of unknotting numbers for prime knots with crossing number nine or less. Our obstruction uses a refined version of Montesinos' theorem which gives a Dehn surgery description of the branched double cover of a knot.
dc.description26 pages, 13 figures (xypic)
dc.identifierhttps://arxiv.org/abs/math/0506485
dc.identifierhttp://arxiv.org/abs/math/0506485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75571
dc.subjectGeometric Topology
dc.titleUnknotting information from Heegaard Floer homology
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