{
  "id": "1307.1919",
  "version": "v2",
  "published": "2013-07-07T21:11:26.000Z",
  "updated": "2013-10-29T20:49:22.000Z",
  "title": "Systoles and Dehn surgery for hyperbolic 3-manifolds",
  "authors": [
    "Grant S. Lakeland",
    "Christopher J. Leininger"
  ],
  "comment": "15 pages, 2 figures. Corrected an error and adjusted main statements; made minor edits",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a closed hyperbolic 3-manifold M of volume V, and a link L in M such that the complement M \\ L is hyperbolic, we establish a bound for the systole length of M \\ L in terms of V. This extends a result of Adams and Reid, who showed that in the case that M is not hyperbolic, there is a universal bound of 7.35534... . As part of the proof, we establish a bound for the systole length of a non-compact finite volume hyperbolic manifold which grows asymptotically like (4/3)log(V).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-29T20:49:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "dehn surgery",
      "non-compact finite volume hyperbolic manifold",
      "systole length",
      "universal bound",
      "complement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1919L"
    }
  }
}