{
  "id": "math/0602232",
  "version": "v1",
  "published": "2006-02-10T23:20:58.000Z",
  "updated": "2006-02-10T23:20:58.000Z",
  "title": "Heegaard diagrams and Floer homology",
  "authors": [
    "Peter Ozsvath",
    "Zoltan Szabo"
  ],
  "comment": "To appear in the Proceedings for ICM-2006 Madrid",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invariant to knot theory: studying the Thurston norm of a link complement, the slice genus of a knot, and the unknotting number of a knot. We emphasize the application to the Thurston norm, and illustrate the theory in the case of the Conway link.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-10T23:20:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heegaard diagrams",
      "thurston norm",
      "heegaard floer homology",
      "link complement",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2232O"
    }
  }
}