{
  "id": "1503.03599",
  "version": "v1",
  "published": "2015-03-12T06:09:05.000Z",
  "updated": "2015-03-12T06:09:05.000Z",
  "title": "Construction of spines of two-bridge link complements and upper bounds of their Matveev complexities",
  "authors": [
    "Masaharu Ishikawa",
    "Keisuke Nemoto"
  ],
  "comment": "14 pages, 11 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give upper bounds of the Matveev complexities of two-bridge link complements by constructing their spines explicitly. In particular, we determine the complexities for an infinite sequence of two-bridge links corresponding to the continued fractions of the form [2,1,...,1,2]. We also give upper bounds for the 3-manifolds obtained as meridian-cyclic branched coverings of the 3-sphere along two-bridge links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-12T06:09:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57M50"
    ],
    "keywords": [
      "two-bridge link complements",
      "upper bounds",
      "matveev complexities",
      "construction",
      "infinite sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}