All Link Invariants for Two Dimensional Solutions of Yang-Baxter Equation and Dressings

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dc.creatorAizawa, N.
dc.creatorHarada, M.
dc.creatorKawaguchi, M.
dc.creatorOtsuki, E.
dc.date2006-12-27
dc.date.accessioned2026-07-07T07:41:29Z
dc.date.available2026-07-07T07:41:29Z
dc.descriptionAll polynomial invariants of links for two dimensional solutions of Yang-Baxter equation is constructed by employing Turaev's method. As a consequence, it is proved that the best invariant so constructed is the Jones polynomial and there exist three solutions connecting to the Alexander polynomial. Invariants for higher dimensional solutions, obtained by the so-called dressings, are also investigated. It is observed that the dressings do not improve link invariant unless some restrictions are put on dressed solutions.
dc.description24 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/math/0612781
dc.identifierhttp://arxiv.org/abs/math/0612781
dc.identifierJKTR 15 (2006) 1279-1301
dc.identifierdoi:10.1142/S0218216506005147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122129
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.titleAll Link Invariants for Two Dimensional Solutions of Yang-Baxter Equation and Dressings
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