Sutured Heegaard diagrams for knots

dc.creatorNi, Yi
dc.date2005-07-21
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:38Z
dc.date.available2026-07-07T12:50:38Z
dc.descriptionWe define sutured Heegaard diagrams for null-homologous knots in 3-manifolds. These diagrams are useful for computing the knot Floer homology at the top filtration level. As an application, we give a formula for the knot Floer homology of a Murasugi sum. Our result echoes Gabai's earlier works. We also show that for so-called 'semifibred' satellite knots, the top filtration term of the knot Floer homology is isomorphic to the counterpart of the companion.
dc.descriptionThis is the version published by Algebraic & Geometric Topology on 2 April 2006
dc.identifierhttps://arxiv.org/abs/math/0507440
dc.identifierhttp://arxiv.org/abs/math/0507440
dc.identifierAlgebr. Geom. Topol. 6 (2006) 513-537
dc.identifierdoi:10.2140/agt.2006.6.513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222738
dc.subjectGeometric Topology
dc.subject57M27, 57R58, 53D40
dc.titleSutured Heegaard diagrams for knots
dc.typetext

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