{
  "id": "math/0608527",
  "version": "v1",
  "published": "2006-08-21T20:20:40.000Z",
  "updated": "2006-08-21T20:20:40.000Z",
  "title": "A homological definition of the HOMFLY polynomial",
  "authors": [
    "Stephen Bigelow"
  ],
  "comment": "22 pages, 7 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a new definition of the knot invariant associated to the Lie algebra su_{N+1}. The knot or link must be presented as the plat closure of a braid. The invariant is then a homological intersection pairing between two submanifolds of a configuration space of points in a disk. This generalizes previous work on the Jones polynomial, which is the case N=1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-21T20:20:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "20F36"
    ],
    "keywords": [
      "homfly polynomial",
      "homological definition",
      "knot invariant",
      "jones polynomial",
      "configuration space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8527B"
    }
  }
}