{
  "id": "1002.4860",
  "version": "v2",
  "published": "2010-02-25T20:30:50.000Z",
  "updated": "2010-06-03T23:48:50.000Z",
  "title": "A state-sum formula for the Alexander polynomial",
  "authors": [
    "Samson Black"
  ],
  "comment": "8 pages",
  "journal": "SAMSON BLACK, J. Knot Theory Ramifications, 21, 1250008 (2012)",
  "doi": "10.1142/S0218216511009741",
  "categories": [
    "math.GT",
    "math.RT"
  ],
  "abstract": "We develop a diagrammatic formalism for calculating the Alexander polynomial of the closure of a braid as a state-sum. Our main tools are the Markov trace formulas for the HOMFLY-PT polynomial and Young's semi-normal representations of the Iwahori-Hecke algebras of type A.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-03T23:48:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M25"
    ],
    "keywords": [
      "alexander polynomial",
      "state-sum formula",
      "youngs semi-normal representations",
      "markov trace formulas",
      "homfly-pt polynomial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.4860B"
    }
  }
}