Braids, Transversal links and the Khovanov-Rozansky Theory

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dc.creatorWu, Hao
dc.date2005-08-02
dc.date2006-05-26
dc.date.accessioned2026-07-07T06:42:44Z
dc.date.available2026-07-07T06:42:44Z
dc.descriptionWe establish some inequalities about the Khovanov-Rozansky cohomologies of braids. These give new upper bounds of the self-linking numbers of transversal links in standard contact $S^3$ which is sharper than the well known bound given by the HOMFLY polynomial. We also introduce a sequence of transversal link invariants, and discuss some of their properties.
dc.description26 pages, 15 figures. Third version: modified proofs of Lemma 3.1 and Proposition 4.2, also corrected some typos and inconsistency in conventions
dc.identifierhttps://arxiv.org/abs/math/0508064
dc.identifierhttp://arxiv.org/abs/math/0508064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102151
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M25, 57R17
dc.titleBraids, Transversal links and the Khovanov-Rozansky Theory
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