All Link Invariants for Two Dimensional Solutions of Yang-Baxter Equation and Dressings
Geometric Topology
2007-05-23 v1 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0612781,
title = {All Link Invariants for Two Dimensional Solutions of Yang-Baxter Equation and Dressings},
author = {N. Aizawa and M. Harada and M. Kawaguchi and E. Otsuki},
journal= {arXiv preprint arXiv:math/0612781},
year = {2007}
}
Comments
24 pages, 16 figures