{
  "id": "1005.1248",
  "version": "v2",
  "published": "2010-05-07T16:50:38.000Z",
  "updated": "2011-07-31T18:02:08.000Z",
  "title": "Heegaard Floer homology as morphism spaces",
  "authors": [
    "Robert Lipshitz",
    "Peter S. Ozsváth",
    "Dylan P. Thurston"
  ],
  "comment": "57 pages, 14 figures; v2: many updates, including changing orientation conventions, which changed the signs in many theorems",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "In this paper we prove another pairing theorem for bordered Floer homology. Unlike the original pairing theorem, this one is stated in terms of homomorphisms, not tensor products. The present formulation is closer in spirit to the usual TQFT framework, and allows a more direct comparison with Fukaya-categorical constructions. The result also leads to various dualities in bordered Floer homology.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-31T18:02:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "53D40"
    ],
    "keywords": [
      "heegaard floer homology",
      "morphism spaces",
      "bordered floer homology",
      "usual tqft framework",
      "direct comparison"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.1248L"
    }
  }
}