{
  "id": "math/0310111",
  "version": "v3",
  "published": "2003-10-08T14:52:39.000Z",
  "updated": "2003-12-09T17:59:19.000Z",
  "title": "On Kontsevich integral of torus knots",
  "authors": [
    "Julien Marche"
  ],
  "comment": "10 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We study the unwheeled rational Kontsevich integral of torus knots. We give a precise formula for these invariants up to loop degree 3 and show that they appear as colorings of simple diagrams. We show that they behave under cyclic branched coverings in a very simple way. Our proof is combinatorial: it uses the results of Wheels and Wheelings and new decorations of diagrams.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-12-09T17:59:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "torus knots",
      "unwheeled rational kontsevich integral",
      "precise formula",
      "loop degree",
      "simple diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10111M"
    }
  }
}