{
  "id": "1207.2413",
  "version": "v2",
  "published": "2012-07-10T16:51:18.000Z",
  "updated": "2013-08-02T08:43:46.000Z",
  "title": "The unknotting number and classical invariants II",
  "authors": [
    "Maciej Borodzik",
    "Stefan Friedl"
  ],
  "comment": "26 pages, one figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "In [BF12] the authors associated to a knot K an invariant n_R(K) which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper we express n_R(K) in terms of Levine-Tristram signatures and nullities of K. In the proof we also show that the Blanchfield form with real coefficients is diagonalizable.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-02T08:43:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unknotting number",
      "classical invariants",
      "blanchfield form",
      "levine-tristram signatures",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.2413B"
    }
  }
}