A note on knot Floer homology of links

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dc.creatorNi, Yi
dc.date2005-06-10
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:52:30Z
dc.date.available2026-07-07T12:52:30Z
dc.descriptionOzsvath and Szabo proved that knot Floer homology determines the genera of knots in S^3. We will generalize this deep result to links in homology 3-spheres, by adapting their method. Our proof relies on a result of Gabai and some constructions related to foliations. We also interpret a theorem of Kauffman in the world of knot Floer homology, hence we can compute the top filtration term of the knot Floer homology for alternative links.
dc.descriptionThis is the version published by Geometry & Topology on 21 June 2006 (V4: typesetting corrections)
dc.identifierhttps://arxiv.org/abs/math/0506208
dc.identifierhttp://arxiv.org/abs/math/0506208
dc.identifierGeom. Topol. 10 (2006) 695-713
dc.identifierdoi:10.2140/gt.2006.10.695
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223316
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject53D40, 57R58, 57M27, 57R30
dc.titleA note on knot Floer homology of links
dc.typetext

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