{
  "id": "math/0408379",
  "version": "v2",
  "published": "2004-08-27T05:21:24.000Z",
  "updated": "2009-07-17T09:01:18.000Z",
  "title": "Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's",
  "authors": [
    "Siddhartha Gadgil"
  ],
  "comment": "9 pages, major revisions; to appear in Expositiones Mathematicae",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct an invariant of open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R^4 for which the invariant is non-trivial, showing that X is an exotic R^4.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-07-17T09:01:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "53D35",
      "57M27",
      "57N10"
    ],
    "keywords": [
      "ozsvath-szabo invariants",
      "open manifolds",
      "heegaard floer theory",
      "open four-manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8379G"
    }
  }
}