{
  "id": "1608.01812",
  "version": "v1",
  "published": "2016-08-05T09:07:29.000Z",
  "updated": "2016-08-05T09:07:29.000Z",
  "title": "A new two-variable generalization of the Jones polynomial",
  "authors": [
    "Dimos Goundaroulis",
    "Sofia Lambropoulou"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present a new 2-variable generalization of the Jones polynomial that can be defined through the skein relation of the Jones polynomial. The well-definedness of this new generalization is proved algebraically. We also give a closed combinatorial formula for this new classical link invariant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-05T09:07:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "20C08",
      "20F36"
    ],
    "keywords": [
      "jones polynomial",
      "two-variable generalization",
      "skein relation",
      "closed combinatorial formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}