{
  "id": "1205.2256",
  "version": "v1",
  "published": "2012-05-10T13:25:41.000Z",
  "updated": "2012-05-10T13:25:41.000Z",
  "title": "An integral lift, starting in odd Khovanov homology, of Szabó's spectral sequence",
  "authors": [
    "Simon Beier"
  ],
  "comment": "33 pages, 15 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Ozsv\\'ath, Rasmussen and Szab\\'o constructed odd Khovanov homology. It is a link invariant which has the same reduction modulo 2 as (even) Khovanov homology. Szab\\'o introduced a spectral sequence with mod 2 coefficients from mod 2 Khovanov homology to another link homology. He got his spectral sequence from a chain complex with a filtration. We give an integral lift of Szab\\'o's complex that provides a spectral sequence from odd Khovanov homology to a link homology, from which one can get Szab\\'o's link homology with the Universal Coefficient Theorem. Szab\\'o has constructed such a lift independently (unpublished).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-10T13:25:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "55T99"
    ],
    "keywords": [
      "szabós spectral sequence",
      "integral lift",
      "szabo constructed odd khovanov homology",
      "universal coefficient theorem",
      "szabos link homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2256B"
    }
  }
}