{
  "id": "0812.3086",
  "version": "v1",
  "published": "2008-12-16T20:40:56.000Z",
  "updated": "2008-12-16T20:40:56.000Z",
  "title": "Hyperbolic (1,2)-knots in S^3 with crosscap number two and tunnel number one",
  "authors": [
    "Luis G. Valdez-Sanchez",
    "Enrique Ramirez-Losada"
  ],
  "comment": "31 pages, 11 figures. To appear in Topology and its Applications (2008)",
  "doi": "10.1016/j.topol.2008.12.031",
  "categories": [
    "math.GT"
  ],
  "abstract": "A knot in S^3 is said to have crosscap number two if it bounds a once-punctured Klein bottle but not a Moebius band. In this paper we give a method of constructing crosscap number two hyperbolic (1,2)-knots with tunnel number one which are neither 2-bridge nor (1,1)-knots. An explicit infinite family of such knots is discussed in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-16T20:40:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N10"
    ],
    "keywords": [
      "tunnel number",
      "hyperbolic",
      "moebius band",
      "constructing crosscap number",
      "once-punctured klein bottle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3086V"
    }
  }
}