{
  "id": "math/0601618",
  "version": "v3",
  "published": "2006-01-25T17:39:39.000Z",
  "updated": "2007-12-11T11:41:46.000Z",
  "title": "Link Floer homology and the Thurston norm",
  "authors": [
    "Peter Ozsvath",
    "Zoltan Szabo"
  ],
  "comment": "Revised Section 3: improved exposition and corrected statement of Lemma 3.6. Also other minor revisions throughout",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We show that link Floer homology detects the Thurston norm of a link complement. As an application, we show that the Thurston polytope of an alternating link is dual to the Newton polytope of its multi-variable Alexander polynomial. To illustrate these techniques, we also compute the Thurston polytopes of several specific link complements.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-12-11T11:41:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thurston norm",
      "link floer homology detects",
      "thurston polytope",
      "specific link complements",
      "newton polytope"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1618O"
    }
  }
}