{
  "id": "1409.1878",
  "version": "v1",
  "published": "2014-09-05T17:17:15.000Z",
  "updated": "2014-09-05T17:17:15.000Z",
  "title": "Ranks of mapping tori via the curve complex",
  "authors": [
    "Ian Biringer",
    "Juan Souto"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that if the monodromy of a 3-manifold M that fibers over the circle has large translation distance in the curve complex, then the rank of the fundamental group of M is 2g+1, where g is the genus of the fiber.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-05T17:17:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "curve complex",
      "mapping tori",
      "large translation distance",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1878B"
    }
  }
}