{
  "id": "0707.1130",
  "version": "v2",
  "published": "2007-07-08T09:12:30.000Z",
  "updated": "2008-02-19T21:34:52.000Z",
  "title": "Khovanov-Rozansky homology and the braid index of a knot",
  "authors": [
    "Keiko Kawamuro"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove the existence of a knot whose braid index the Morton-Franks-Williams inequality fails to detect but a related inequality (KR-MFW inequality), which uses new information of Khovanov-Rozansky homology, detects. We also prove, by examples, that there exists infinitely many knots for which the KR-MFW inequality fails to detect the braid indices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-19T21:34:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "braid index",
      "khovanov-rozansky homology",
      "morton-franks-williams inequality fails",
      "kr-mfw inequality fails",
      "braid indices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1130K"
    }
  }
}