Knots with unknotting number one and Heegaard Floer homology

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dc.creatorOzsvath, Peter
dc.creatorSzabo, Zoltan
dc.date2004-01-30
dc.date2005-03-15
dc.date.accessioned2026-07-07T05:04:58Z
dc.date.available2026-07-07T05:04:58Z
dc.descriptionWe use Heegaard Floer homology to give obstructions to unknotting a knot with a single crossing change. These restrictions are particularly useful in the case where the knot in question is alternating. As an example, we use them to classify all knots with crossing number less than or equal to nine and unknotting number equal to one. We also classify alternating knots with ten crossings and unknotting number equal to one.
dc.descriptionMinor revisions, updated references
dc.identifierhttps://arxiv.org/abs/math/0401426
dc.identifierhttp://arxiv.org/abs/math/0401426
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70012
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R58; 53D40; 57M27
dc.titleKnots with unknotting number one and Heegaard Floer homology
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