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

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All 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.
24 pages, 16 figures

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Geometric Topology, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/122129

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612781
 http://arxiv.org/abs/math/0612781
 JKTR 15 (2006) 1279-1301
 doi:10.1142/S0218216506005147

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arXiv