{
  "id": "1001.1329",
  "version": "v3",
  "published": "2010-01-08T17:43:44.000Z",
  "updated": "2010-06-25T11:46:32.000Z",
  "title": "The L^2 signature of torus knots",
  "authors": [
    "Julia Collins"
  ],
  "comment": "11 pages, Version 2 contains a note explaining that the main theorem of the paper has already been proved in earlier work by Kirby and Melvin",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We find a formula for the L2 signature of a (p,q) torus knot, which is the integral of the omega-signatures over the unit circle. We then apply this to a theorem of Cochran-Orr-Teichner to prove that the n-twisted doubles of the unknot, for n not 0 or 2, are not slice. This is a new proof of the result first proved by Casson and Gordon.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-25T11:46:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "torus knot",
      "l2 signature",
      "unit circle",
      "result first",
      "omega-signatures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.1329C"
    }
  }
}