{
  "id": "1010.2422",
  "version": "v3",
  "published": "2010-10-12T15:32:57.000Z",
  "updated": "2010-11-21T21:44:37.000Z",
  "title": "On the Foundations of the LMO Invariant",
  "authors": [
    "Renaud Gauthier"
  ],
  "comment": "This paper has been withdrawn by the author as the claim that \\check{Z}_f is ill-behaved under band sum moves becomes incorrect once we implicitly take associators into consideration",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We generalize the definition of the framed Kontsevich integral initially presented by T.Q.T.Le and J.Murakami. We define an isotopy invariant $\\widetilde{Z}_f$ that behaves well under band sum moves.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-21T21:44:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lmo invariant",
      "foundations",
      "band sum moves",
      "isotopy invariant",
      "framed kontsevich integral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.2422G"
    }
  }
}