{
  "id": "math/0008126",
  "version": "v2",
  "published": "2000-08-16T15:02:53.000Z",
  "updated": "2003-12-18T18:24:33.000Z",
  "title": "A property of the skein polynomial with an application to contact geometry",
  "authors": [
    "A. Stoimenow"
  ],
  "comment": "7 pages",
  "journal": "J. Differential Geom. 77(3) (2007), 555--566.",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We prove a finiteness property of the values of the skein polynomial of homogeneous knots which allows to establish large classes of such knots to have arbitrarily unsharp Bennequin inequality (for the Thurston-Bennequin invariant of any of their Legendrian embeddings in the standard contact structure of R^3), and a give a short proof that there are only finitely many among these knots that have given genus and given braid index.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-12-18T18:24:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "53C15",
      "58A30"
    ],
    "keywords": [
      "skein polynomial",
      "contact geometry",
      "application",
      "standard contact structure",
      "arbitrarily unsharp bennequin inequality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......8126S"
    }
  }
}