{
  "id": "0911.2679",
  "version": "v3",
  "published": "2009-11-13T19:31:03.000Z",
  "updated": "2014-10-16T20:05:27.000Z",
  "title": "Cables of thin knots and bordered Heegaard Floer homology",
  "authors": [
    "Ina Petkova"
  ],
  "comment": "29 pages, 7 figures; corrected minor mistakes and expanded exposition",
  "journal": "Quantum Topology 4 (2013) 377-409",
  "doi": "10.4171/QT/43",
  "categories": [
    "math.GT"
  ],
  "abstract": "We use bordered Floer homology to give a formula for the knot Floer homology of any (p, pn+1)-cable of a thin knot K in terms of Delta_K(t), tau(K), p, and n. We also give a formula for the Ozsvath-Szabo concordance invariant tau(K_{p, pn+1}) in terms of tau(K), p, and n, and a formula for tau(K_{p,q}) for almost all relatively prime p and q.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-28T23:41:04.000Z",
      "comment": "18 pages, 8 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-16T20:05:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R58"
    ],
    "keywords": [
      "bordered heegaard floer homology",
      "thin knot",
      "ozsvath-szabo concordance invariant",
      "knot floer homology",
      "bordered floer homology"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2679P"
    }
  }
}