{
  "id": "math/0609531",
  "version": "v3",
  "published": "2006-09-19T15:33:55.000Z",
  "updated": "2008-02-14T14:32:40.000Z",
  "title": "An unoriented skein exact triangle for knot Floer homology",
  "authors": [
    "Ciprian Manolescu"
  ],
  "comment": "13 pages, 10 figures; 9_46 dropped from the list of quasi-alternating knots",
  "journal": "Math. Res. Lett. 14 (2007), 839--852",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a consequence, we deduce that for any quasi-alternating knot, the total rank of its knot Floer homology is equal to the determinant of the knot.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-02-14T14:32:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57R58"
    ],
    "keywords": [
      "knot floer homology",
      "unoriented skein exact triangle",
      "total rank",
      "planar diagram",
      "quasi-alternating knot"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9531M"
    }
  }
}