{
  "id": "math/0607544",
  "version": "v2",
  "published": "2006-07-21T15:53:28.000Z",
  "updated": "2006-08-15T14:29:21.000Z",
  "title": "Some differentials on Khovanov-Rozansky homology",
  "authors": [
    "Jacob Rasmussen"
  ],
  "comment": "55 pages, 18 figures. v2: Corrected gradings in the statement of proposition 7.6",
  "categories": [
    "math.GT",
    "math.QA"
  ],
  "abstract": "We study the relationship between the HOMFLY and sl(N) knot homologies introduced by Khovanov and Rozansky. For each N>0, we show there is a spectral sequence which starts at the HOMFLY homology and converges to the sl(N) homology. As an application, we determine the KR-homology of knots with 9 crossings or fewer.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-15T14:29:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "khovanov-rozansky homology",
      "differentials",
      "knot homologies",
      "spectral sequence",
      "relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7544R"
    }
  }
}