{
  "id": "1708.03709",
  "version": "v1",
  "published": "2017-08-11T21:27:38.000Z",
  "updated": "2017-08-11T21:27:38.000Z",
  "title": "On the virtually-cyclic dimension of mapping class groups of punctured spheres",
  "authors": [
    "J. Aramayona",
    "D. Juan-Pineda",
    "A. Trujillo-Negrete"
  ],
  "comment": "21 pages, 1 figure",
  "categories": [
    "math.AT"
  ],
  "abstract": "We calculate the virtually-cyclic dimension of the mapping class group of a sphere with at most six punctures. As an immediate consequence, we obtain the virtually-cyclic dimension of the mapping class group of the twice-holed torus and of the closed genus-two surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-11T21:27:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "20F65"
    ],
    "keywords": [
      "mapping class group",
      "virtually-cyclic dimension",
      "punctured spheres",
      "immediate consequence",
      "closed genus-two surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}