{
  "id": "1107.2344",
  "version": "v2",
  "published": "2011-07-12T16:41:55.000Z",
  "updated": "2013-01-30T03:08:02.000Z",
  "title": "A Turaev surface approach to Khovanov homology",
  "authors": [
    "Oliver T. Dasbach",
    "Adam M. Lowrance"
  ],
  "comment": "30 pages, 18 figures, added sections on virtual links and Reidemeister moves",
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ribbon graph embedded on the Turaev surface of a link is isomorphic to the Khovanov homology of the link (after a grading shift). We also present a spanning quasi-tree model for the Khovanov homology of a ribbon graph.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-30T03:08:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57M15"
    ],
    "keywords": [
      "khovanov homology",
      "turaev surface approach",
      "spanning quasi-tree model",
      "grading shift",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2344D"
    }
  }
}