On the quantum filtration of the Khovanov-Rozansky cohomology

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dc.creatorWu, Hao
dc.date2006-12-14
dc.date2007-02-14
dc.date.accessioned2026-07-07T07:46:38Z
dc.date.available2026-07-07T07:46:38Z
dc.descriptionWe prove the quantum filtration on the Khovanov-Rozansky link cohomology H_p with a general degree (n+1) monic potential polynomial p(x) is invariant under Reidemeister moves, and construct a spectral sequence converging to H_p that is invariant under Reidemeister moves, whose E_1 term is isomorphic to the Khovanov-Rozansky sl(n)-cohomology H_n. Then we define a generalization of the Rasmussen invariant, and study some of its properties. We also discuss relations between upper bounds of the self-linking number of transversal links in the standard contact three sphere.
dc.description68 pages, 47 figures
dc.identifierhttps://arxiv.org/abs/math/0612406
dc.identifierhttp://arxiv.org/abs/math/0612406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123889
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M25, 57R17
dc.titleOn the quantum filtration of the Khovanov-Rozansky cohomology
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