{
  "id": "1710.10530",
  "version": "v1",
  "published": "2017-10-28T21:30:27.000Z",
  "updated": "2017-10-28T21:30:27.000Z",
  "title": "Signature invariants related to the unknotting number",
  "authors": [
    "Charles Livingston"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "New lower bounds on the unknotting number of a knot are constructed from the classical knot signature function. These bounds can be twice as strong as previously known signature bounds. They can also be stronger than known bounds arising from Heegaard Floer and Khovanov homology. Results include new bounds on the Gordian distance between knots and information about four-dimensional knot invariants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-28T21:30:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "unknotting number",
      "signature invariants",
      "classical knot signature function",
      "four-dimensional knot invariants",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}