{
  "id": "1307.0641",
  "version": "v3",
  "published": "2013-07-02T09:33:18.000Z",
  "updated": "2016-07-21T12:14:10.000Z",
  "title": "Fibered spherical 3-orbifolds",
  "authors": [
    "Mattia Mecchia",
    "Andrea Seppi"
  ],
  "comment": "27 pages, 6 figures. Several misprint corrected, improved exposition",
  "journal": "Revista Matematica Iberoamericana 31 (2015) no.3, 811-840",
  "categories": [
    "math.GT"
  ],
  "abstract": "In early 1930s Seifert and Threlfall classified up to conjugacy the finite subgroups of $\\mathrm{SO}(4)$, this gives an algebraic classification of orientable spherical 3-orbifolds. For the most part, spherical 3-orbifolds are Seifert fibered. The underlying topological space and singular set of non-fibered spherical 3-orbifolds were described by Dunbar. In this paper we deal with the fibered case and in particular we give explicit formulae relating the finite subgroups of $\\mathrm{SO}(4)$ with the invariants of the corresponding fibered 3-orbifolds. This allows to deduce directly from the algebraic classification topological properties of spherical 3-orbifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-12T14:51:49.000Z",
      "abstract": "In early 1930s Seifert and Threlfall classified up to conjugacy the finite subgroups of $\\SO4$, this gives an algebraic classification of orientable spherical 3-orbifolds. For the most part, spherical 3-orbifolds are Seifert fibered. The underlying topological space and singular set of non-fibered spherical 3-orbifolds were described by Dunbar. In this paper we deal with the fibered case and in particular we give explicit formulae relating the finite subgroups of $\\SO4$ with the invariants of the corresponding fibered 3-orbifolds. This allows to deduce directly from the algebraic classification topological properties of spherical 3-orbifolds.",
      "comment": "27 pages, 6 figures. A misprint in Table 4 has been corrected",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-07-21T12:14:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fibered spherical",
      "finite subgroups",
      "algebraic classification topological properties",
      "early 1930s seifert",
      "singular set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.0641M"
    }
  }
}