{
  "id": "math/0201221",
  "version": "v2",
  "published": "2002-01-23T09:39:33.000Z",
  "updated": "2002-11-15T10:09:52.000Z",
  "title": "A homological definition of the Jones polynomial",
  "authors": [
    "Stephen Bigelow"
  ],
  "comment": "Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper3.abs.html",
  "journal": "Geom. Topol. Monogr. 4 (2002) 29-41",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a new definition of the Jones polynomial. Let L be an oriented knot or link obtained as the plat closure of a braid beta in B_{2n}. We define a covering space tilde{C} of the space of unordered n-tuples of distinct points in the 2n-punctured disk. We then describe two n-manifolds tilde{S} and tilde{T} in tilde{C}, and show that the Jones polynomial of L can be defined as an intersection pairing between tilde{S} and beta tilde{T}. Our construction is similar to one given by Lawrence, but more concrete.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-11-15T10:09:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "20F36"
    ],
    "keywords": [
      "jones polynomial",
      "homological definition",
      "n-manifolds tilde",
      "distinct points",
      "plat closure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}