Framed knot contact homology

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dc.creatorNg, Lenhard
dc.date2004-07-06
dc.date2007-05-22
dc.date.accessioned2026-07-07T09:43:39Z
dc.date.available2026-07-07T09:43:39Z
dc.descriptionWe extend knot contact homology to a theory over the ring $\mathbb{Z}[λ^{\pm 1},μ^{\pm 1}]$, with the invariant given topologically and combinatorially. The improved invariant, which is defined for framed knots in $S^3$ and can be generalized to knots in arbitrary manifolds, distinguishes the unknot and can distinguish mutants. It contains the Alexander polynomial and naturally produces a two-variable polynomial knot invariant which is related to the $A$-polynomial.
dc.descriptionv3: 36 pages, minor corrections, to appear in Duke Math. J
dc.identifierhttps://arxiv.org/abs/math/0407071
dc.identifierhttp://arxiv.org/abs/math/0407071
dc.identifierDuke Math. J. 141 (2008), no. 2, 365-406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162639
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M27; 53D12, 53D40
dc.titleFramed knot contact homology
dc.typetext

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