{
  "id": "math/0501280",
  "version": "v2",
  "published": "2005-01-18T23:25:22.000Z",
  "updated": "2005-07-25T22:09:25.000Z",
  "title": "Weight Systems for Milnor Invariants",
  "authors": [
    "Blake Mellor"
  ],
  "comment": "13 pages, 8 figures. Latest version has minor technical changes",
  "journal": "J. Knot Theory Ramif., vol. 17, no. 2, 2008, pp. 213-230",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "We use Polyak's skein relation to give a new proof that Milnor's string link homotopy invariants are finite type invariants, and to develop a recursive relation for their associated weight systems. We show that the obstruction to the triviality of these weight systems is the presence of a certain kind of spanning tree in the intersection graph of a chord diagram.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-07-25T22:09:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "milnor invariants",
      "milnors string link homotopy invariants",
      "finite type invariants",
      "polyaks skein relation",
      "intersection graph"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1280M"
    }
  }
}