{
  "id": "1610.07731",
  "version": "v1",
  "published": "2016-10-25T04:43:01.000Z",
  "updated": "2016-10-25T04:43:01.000Z",
  "title": "Spacious knots",
  "authors": [
    "Richard Kent",
    "Jessica S. Purcell"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that there are hyperbolic knots in the 3-sphere that Benjamini-Schramm converge to hyperbolic space, meaning that there are hyperbolic knot complements such that the points of large injectivity radius take up the bulk of the volume. This answers a question of Brock and Dunfield.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-25T04:43:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M25",
      "30F40"
    ],
    "keywords": [
      "spacious knots",
      "hyperbolic knot complements",
      "large injectivity radius",
      "hyperbolic space",
      "benjamini-schramm converge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}