{
  "id": "math/0612781",
  "version": "v1",
  "published": "2006-12-27T11:58:33.000Z",
  "updated": "2006-12-27T11:58:33.000Z",
  "title": "All Link Invariants for Two Dimensional Solutions of Yang-Baxter Equation and Dressings",
  "authors": [
    "N. Aizawa",
    "M. Harada",
    "M. Kawaguchi",
    "E. Otsuki"
  ],
  "comment": "24 pages, 16 figures",
  "journal": "JKTR 15 (2006) 1279-1301",
  "doi": "10.1142/S0218216506005147",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-27T11:58:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "link invariant",
      "yang-baxter equation",
      "higher dimensional solutions",
      "best invariant",
      "jones polynomial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12781A"
    }
  }
}