{
  "id": "1210.0382",
  "version": "v3",
  "published": "2012-10-01T13:00:06.000Z",
  "updated": "2013-07-09T00:50:21.000Z",
  "title": "On commensurability of fibrations on a hyperbolic 3-manifold",
  "authors": [
    "Hidetoshi Masai"
  ],
  "comment": "12 pages, 3 figures, version 3 is reorganized following referee's suggestions, version 2 has problems on showing figures",
  "categories": [
    "math.GT",
    "math.DS"
  ],
  "abstract": "We discuss fibered commensurability of fibrations on a hyperbolic 3-manifold, a notion introduced by Calegari, Sun and Wang. We construct manifolds with non-symmetric but commensurable fibrations on the same fibered face. We also prove that if a given manifold M does not have any hidden symmetries, then M does not admit non-symmetric but commensu- rable fibrations. Finally, Theorem 3.1 of Calegari, Sun and Wang shows that every hyperbolic fibered commensurability class contains a unique minimal element. In this paper we provide a detailed discussion on the proof of the theorem in the cusped case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-09T00:50:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "37B40"
    ],
    "keywords": [
      "fibrations",
      "hyperbolic fibered commensurability class contains",
      "unique minimal element",
      "hidden symmetries",
      "admit non-symmetric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.0382M"
    }
  }
}