{
  "id": "math/0211092",
  "version": "v3",
  "published": "2002-11-05T16:49:27.000Z",
  "updated": "2003-12-15T16:51:30.000Z",
  "title": "Non-orientable 3-manifolds of small complexity",
  "authors": [
    "Gennaro Amendola",
    "Bruno Martelli"
  ],
  "comment": "27 pages, 12 figures. Two mistakes contained in the previous version are fixed: there is a Sol manifold with complexity 6, and the examples with complexty 7 are Sol and H2xS1 (see the abstract)",
  "journal": "Topology Appl. 133 (2003), 157-178",
  "categories": [
    "math.GT"
  ],
  "abstract": "We classify all closed non-orientable P2-irreducible 3-manifolds having complexity up to 6 and we describe some having complexity 7. We show in particular that there is no such manifold with complexity less than 6, and that those having complexity 6 are precisely the 4 flat non-orientable ones and the filling of the Gieseking manifold, which is of type Sol. The manifolds having complexity 7 we describe are Seifert manifolds of type H2 x S1 and a manifold of type Sol.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-12-15T16:51:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "57M20",
      "57M50"
    ],
    "keywords": [
      "small complexity",
      "non-orientable",
      "type sol"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11092A"
    }
  }
}