A contribution of a U(1)-reducible connection to quantum invariants of links I: R-matrix and Burau representation

dc.creatorRozansky, L.
dc.date1998-06-01
dc.date1999-06-06
dc.date.accessioned2026-07-07T05:24:54Z
dc.date.available2026-07-07T05:24:54Z
dc.descriptionWe use the relation between the quantum su(2) R-matrix and the Burau representation of the braid group in order to study the structure of the colored Jones polynomial of links. We show that similarly to the case of a knot, the colored Jones polynomial of a link can be presented as a formal series in powers of q-1. The coefficients of this series are rational functions of q^(color) whose denominators are powers of the Alexander-Conway polynomial.
dc.descriptionLaTeX2e, 78 pages; the text has been substantially changed in order to improve the exposition
dc.identifierhttps://arxiv.org/abs/math/9806004
dc.identifierhttp://arxiv.org/abs/math/9806004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76986
dc.subjectQuantum Algebra
dc.subject57M25
dc.titleA contribution of a U(1)-reducible connection to quantum invariants of links I: R-matrix and Burau representation
dc.typetext

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