{
  "id": "math/0702514",
  "version": "v2",
  "published": "2007-02-17T23:42:05.000Z",
  "updated": "2007-03-05T00:09:39.000Z",
  "title": "Knot Floer homology and Seifert surfaces",
  "authors": [
    "Andras Juhasz"
  ],
  "comment": "4 pages, n=0 case corrected",
  "journal": "Algebraic & Geomertic Topology 8 (2008) 603-608",
  "doi": "10.2140/agt.2008.8.603",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let K be a knot in S^3 of genus g and let n>0. We show that if rk HFK(K,g) < 2^{n+1} (where HFK denotes knot Floer homology), in particular if K is an alternating knot such that the leading coefficient a_g of its Alexander polynomial satisfies |a_g| <2^{n+1}, then K has at most n pairwise disjoint non-isotopic genus g Seifert surfaces. For n=1 this implies that K has a unique minimal genus Seifert surface up to isotopy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-05T00:09:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R58"
    ],
    "keywords": [
      "hfk denotes knot floer homology",
      "unique minimal genus seifert surface",
      "pairwise disjoint non-isotopic genus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2514J"
    }
  }
}