{
  "id": "1003.0411",
  "version": "v2",
  "published": "2010-03-01T17:51:32.000Z",
  "updated": "2010-06-28T17:24:07.000Z",
  "title": "On fibered commensurability",
  "authors": [
    "Danny Calegari",
    "Hongbin Sun",
    "Shicheng Wang"
  ],
  "comment": "26 pages, 16 figures; version 2 incorporates referee's comments",
  "journal": "Pacific J. Math. 250 (2011), no. 2, 287-317",
  "categories": [
    "math.GT",
    "math.DS"
  ],
  "abstract": "This paper initiates a systematic study of the relation of commensurability of surface automorphisms, or equivalently, fibered commensurability of 3-manifolds fibering over the circle. We show that every hyperbolic fibered commensurability class contains a unique minimal element, whereas the class of Seifert manifolds fibering over the circle consists of a single commensurability class with infinitely many minimal elements. The situation for non-geometric manifolds is more complicated, and we illustrate a range of phenomena that can occur in this context.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-28T17:24:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "hyperbolic fibered commensurability class contains",
      "single commensurability class",
      "unique minimal element",
      "non-geometric manifolds",
      "paper initiates"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.0411C"
    }
  }
}