Khovanov-Rozansky homology and the braid index of a knot

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dc.creatorKawamuro, Keiko
dc.date2007-07-08
dc.date2008-02-19
dc.date.accessioned2026-07-07T09:21:20Z
dc.date.available2026-07-07T09:21:20Z
dc.descriptionWe prove the existence of a knot whose braid index the Morton-Franks-Williams inequality fails to detect but a related inequality (KR-MFW inequality), which uses new information of Khovanov-Rozansky homology, detects. We also prove, by examples, that there exists infinitely many knots for which the KR-MFW inequality fails to detect the braid indices.
dc.identifierhttps://arxiv.org/abs/0707.1130
dc.identifierhttp://arxiv.org/abs/0707.1130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154985
dc.subjectGeometric Topology
dc.subject57M25
dc.titleKhovanov-Rozansky homology and the braid index of a knot
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