{
  "id": "1011.1958",
  "version": "v1",
  "published": "2010-11-09T02:16:09.000Z",
  "updated": "2010-11-09T02:16:09.000Z",
  "title": "A categorification of the stable SU(2) Witten-Reshetikhin-Turaev invariant of links in S2 x S1",
  "authors": [
    "Lev Rozansky"
  ],
  "comment": "59 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "The WRT invariant of a link L in S2xS1 at sufficiently high values of the level r can be expresses as an evaluation of a special polynomial invariant of L at 2r-th root of unity. We categorify this polynomial invariant by associating to L a bigraded homology whose graded Euler characteristic is equal to this polynomial. If L is presented as a closure of a tangle in S2xS1, then the homology of L is defined as the Hochschild homology of the H_n-bimodule associated to the tangle by M. Khovanov. This homology can also be expressed as a stable limit of Khovanov homology of the circular closure of the tangle in S3 through the torus braid with high twist.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-09T02:16:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "witten-reshetikhin-turaev invariant",
      "stable su",
      "categorification",
      "special polynomial invariant",
      "high values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 59,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1958R"
    }
  }
}