{
  "id": "1708.01774",
  "version": "v1",
  "published": "2017-08-05T14:56:33.000Z",
  "updated": "2017-08-05T14:56:33.000Z",
  "title": "Thick hyperbolic 3-manifolds with bounded rank",
  "authors": [
    "Ian Biringer",
    "Juan Souto"
  ],
  "comment": "170 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct a geometric decomposition for the convex core of a thick hyperbolic 3-manifold M with bounded rank. Corollaries include upper bounds in terms of rank and injectivity radius on the Heegaard genus of M and on the radius of any embedded ball in the convex core of M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-05T14:56:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "thick hyperbolic",
      "bounded rank",
      "convex core",
      "geometric decomposition",
      "upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 170,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}