{
  "id": "1011.0499",
  "version": "v2",
  "published": "2010-11-02T01:46:02.000Z",
  "updated": "2016-01-11T05:07:20.000Z",
  "title": "Bordered Floer homology and the spectral sequence of a branched double cover I",
  "authors": [
    "Robert Lipshitz",
    "Peter S. Ozsváth",
    "Dylan P. Thurston"
  ],
  "comment": "45 pages, 16 figures. v2: Published version",
  "journal": "Journal of Topology 7 (2014), no. 4, 1155-1199",
  "doi": "10.1112/jtopol/jtu012",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "Given a link in the three-sphere, Z. Szab\\'o and the second author constructed a spectral sequence starting at the Khovanov homology of the link and converging to the Heegaard Floer homology of its branched double-cover. The aim of this paper and its sequel is to explicitly calculate this spectral sequence, using bordered Floer homology. There are two primary ingredients in this computation: an explicit calculation of filtered bimodules associated to Dehn twists and a pairing theorem for polygons. In this paper we give the first ingredient, and so obtain a combinatorial spectral sequence from Khovanov homology to Heegaard Floer homology; in the sequel we show that this spectral sequence agrees with the previously known one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-02T01:46:02.000Z",
      "title": "Bordered Floer homology and the branched double cover I",
      "comment": "43 pages, 16 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-01-11T05:07:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "53D40"
    ],
    "keywords": [
      "bordered floer homology",
      "branched double cover",
      "heegaard floer homology",
      "khovanov homology",
      "combinatorial spectral sequence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.0499L"
    }
  }
}