2006/12/01 by N. AIZAWA, N. Aizawa, M. Harada +5 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Geometric and Algebraic Topology #Nonlinear Waves and Solitons #math.GT #math.QA
paper · pdf · doi:10.1142/s0218216506005147
published as JKTR 15 (2006) 1279-1301 · 24 pages, 16 figures
openalex publication_date 2006/12/01 · arxiv created 2006/12/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.