{
  "id": "math/0512253",
  "version": "v2",
  "published": "2005-12-13T01:51:55.000Z",
  "updated": "2009-04-28T14:40:36.000Z",
  "title": "Cosmetic surgeries on genus one knots",
  "authors": [
    "Jiajun Wang"
  ],
  "comment": "This is the version published by Algebraic & Geometric Topology on 4 October 2006",
  "journal": "Algebr. Geom. Topol. 6 (2006) 1491-1517",
  "doi": "10.2140/agt.2006.6.1491",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we prove that there are no truly cosmetic surgeries on genus one classical knots. If the two surgery slopes have the same sign, we give the only possibilities of reflectively cosmetic surgeries. The result is an application of Heegaard Floer theory and number theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-28T14:40:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57R58",
      "53D40"
    ],
    "keywords": [
      "heegaard floer theory",
      "truly cosmetic surgeries",
      "number theory",
      "surgery slopes",
      "reflectively cosmetic surgeries"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12253W"
    }
  }
}