Universal weight systems and the Melvin-Morton expansion of the colored Jones knot invariant

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dc.creatorVaintrob, Arkady
dc.date1996-05-02
dc.date.accessioned2026-07-07T09:16:56Z
dc.date.available2026-07-07T09:16:56Z
dc.descriptionWe study the asymptotic expansion of the colored Jones polynomial (the Melvin-Morton expansion) using a recursion formula for the deframed universal weight system for the $sl(2)$ Lie algebra. Combined with the formula for the universal weight system for the Lie superalgebra $gl(1|1)$ (which corresponds to the Alexander-Conway knot polynomial) this formula gives a very short proof of the Melvin-Morton conjecture relating the colored Jones invariant and the Alexander-Conway polynomial of knots.
dc.description20 pages, LaTeX with bezier.sty
dc.identifierhttps://arxiv.org/abs/q-alg/9605003
dc.identifierhttp://arxiv.org/abs/q-alg/9605003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153530
dc.subjectQuantum Algebra
dc.titleUniversal weight systems and the Melvin-Morton expansion of the colored Jones knot invariant
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