{
  "id": "1312.4502",
  "version": "v1",
  "published": "2013-12-16T20:22:45.000Z",
  "updated": "2013-12-16T20:22:45.000Z",
  "title": "Computing the unknotting numbers of certain pretzel knots",
  "authors": [
    "Seph Shewell Brockway"
  ],
  "comment": "10 pages, 4 figures. Edited excerpt of author's MSc thesis",
  "categories": [
    "math.GT"
  ],
  "abstract": "We compute the unknotting number of two infinite families of pretzel knots, $P(3,1,\\dots,1,b)$ (with $b$ positive and odd and an odd number of 1s) and $P(3,3,3c)$ (with $c$ positive and odd). To do this, we extend a technique of Owens using Donaldson's diagonalization theorem, and one of Traczyk using the Jones polynomial, building on work of Lickorish and Millett.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-16T20:22:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "pretzel knots",
      "unknotting number",
      "donaldsons diagonalization theorem",
      "odd number",
      "infinite families"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.4502S"
    }
  }
}