{
  "id": "1204.1871",
  "version": "v4",
  "published": "2012-04-09T13:41:28.000Z",
  "updated": "2013-11-28T01:16:10.000Z",
  "title": "The Yokonuma-Hecke algebras and the HOMFLYPT polynomial",
  "authors": [
    "Maria Chlouveraki",
    "Sofia Lambropoulou"
  ],
  "comment": "23 pages, Final version",
  "categories": [
    "math.GT"
  ],
  "abstract": "We compare the invariant for classical knots and links defined using the Juyumaya trace on the Yokonuma-Hecke algebras with the HOMFLYPT polynomial. We show that the two invariants, as maps on the set ${\\mathcal L}$ of oriented link types in $S^3$, do not coincide except in a few trivial cases.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-11-28T01:16:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25",
      "20F36",
      "20C08"
    ],
    "keywords": [
      "homflypt polynomial",
      "yokonuma-hecke algebras",
      "trivial cases",
      "oriented link types",
      "juyumaya trace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.1871C"
    }
  }
}