{
  "id": "1306.5542",
  "version": "v1",
  "published": "2013-06-24T09:00:45.000Z",
  "updated": "2013-06-24T09:00:45.000Z",
  "title": "Minimal triangulations of (S^3\\times S^1)^{#3} and (S^3 \\(twisted product) S^1)^{#3}",
  "authors": [
    "Nitin Singh"
  ],
  "comment": "20 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "A triangulated $d$-manifold $K$, satisfies the inequality $\\binom{f_0(K)-d-1}{2}\\geq \\binom{d+2}{2}\\beta_1(K;\\mathbb{Z}_2)$ for $d\\geq 3$. The triangulated $d$-manifolds that meet the bound with equality are called {\\em tight neighborly}. In this paper, we present tight neighborly triangulations of 4-manifolds on 15 vertices with $\\mathbb{Z}_3$ as automorphism group. One such example wasconstructed by Bagchi and Datta in 2011. We show that there are exactly 12 such triangulations up to isomorphism, 10 of which are orientable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-24T09:00:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q15",
      "57R05"
    ],
    "keywords": [
      "minimal triangulations",
      "automorphism group",
      "tight neighborly triangulations",
      "inequality",
      "isomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.5542S"
    }
  }
}