{
  "id": "math/0103041",
  "version": "v2",
  "published": "2001-03-06T22:41:11.000Z",
  "updated": "2001-04-01T16:00:14.000Z",
  "title": "The skein polynomial of closed 3-braids",
  "authors": [
    "A. Stoimenow"
  ],
  "comment": "10 pages; revision 1 Apr 01: minor changes, added remarks on question 4",
  "journal": "J. Reine Angew. Math. 564 (2003), 167--180.",
  "categories": [
    "math.GT"
  ],
  "abstract": "Using the band representation of the 3-strand braid group, it is shown that the genus of 3-braid links can be read off their skein polynomial. Some applications are given, in particular a simple proof of Morton's conjectured inequality and a condition to decide that some polynomials, like the one of 9_{49}, are not admitted by 3-braid links. Finally, alternating links of braid index 3 are classified.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-01T16:00:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "skein polynomial",
      "braid index",
      "band representation",
      "simple proof",
      "mortons conjectured inequality"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3041S"
    }
  }
}