{
  "id": "1208.1074",
  "version": "v2",
  "published": "2012-08-06T03:05:29.000Z",
  "updated": "2017-06-22T15:33:10.000Z",
  "title": "The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions I",
  "authors": [
    "Vincent Colin",
    "Paolo Ghiggini",
    "Ko Honda"
  ],
  "comment": "161 pages, 6 figures. Second version: exposition improvements, index of notation, more details about degenerations of J-holomorphic curves",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "Given an open book decomposition (S,h) adapted to a closed, oriented 3-manifold M, we define a chain map from a certain Heegaard Floer chain complex associated to (S,h) to a certain embedded contact homology chain complex associated to (S,h), as defined in arXiv:1008.2734, and prove that it induces an isomorphism on the level of homology. This implies the isomorphism between the hat version of Heegaard Floer homology of -M and the hat version of embedded contact homology of M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-06T03:05:29.000Z",
      "comment": "127 pages, 6 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-06-22T15:33:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "53D10",
      "53D40"
    ],
    "keywords": [
      "embedded contact homology",
      "heegaard floer homology",
      "open book decomposition",
      "contact homology chain complex"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 161,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.1074C"
    }
  }
}