Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots

dc.creatorMassuyeau, Gwenael
dc.creatorNichita, Florin F.
dc.date2004-04-01
dc.date.accessioned2026-07-07T08:46:14Z
dc.date.available2026-07-07T08:46:14Z
dc.descriptionIn this note, we consider the problem of constructing knot invariants from Yang-Baxter operators associated to (unitary associative) algebra structures. We first compute the enhancements of these operators. Then, we conclude that Turaev's procedure to construct knot invariants, as modified by Murakami, invariably produces from those enhanced Yang-Baxter operators the Alexander polynomial.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0404010
dc.identifierhttp://arxiv.org/abs/math/0404010
dc.identifierComm. Algebra 33:7 (2005) 2375-2385
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143185
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.titleYang-Baxter operators arising from algebra structures and the Alexander polynomial of knots
dc.typetext

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