{
  "id": "0911.2979",
  "version": "v1",
  "published": "2009-11-16T09:11:35.000Z",
  "updated": "2009-11-16T09:11:35.000Z",
  "title": "The representativity of pretzel knots",
  "authors": [
    "Makoto Ozawa"
  ],
  "comment": "11 pages, 10 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In the present paper, we will show that a $(p,q,r)$-pretzel knot has the representativity 3 if and only if $(p,q,r)$ is either $\\pm(-2,3,3)$ or $\\pm(-2,3,5)$. We also show that a large algebraic knot has the representativity less than or equal to 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-16T09:11:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57Q35"
    ],
    "keywords": [
      "pretzel knot",
      "representativity",
      "large algebraic knot"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2979O"
    }
  }
}