{
  "id": "1110.3863",
  "version": "v2",
  "published": "2011-10-18T02:09:56.000Z",
  "updated": "2011-12-13T03:38:32.000Z",
  "title": "Small knot complements, exceptional surgeries, and hidden symmetries",
  "authors": [
    "Neil Hoffman"
  ],
  "comment": "31 pages, 11 figures, v2 has updated references, minor edits for clarity, and corrections of a few typographical errors",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper provides two obstructions to small knot complements in $S^3$ admitting hidden symmetries. The first obstruction is being cyclically commensurable with another knot complement. This result provides a partial answer to a conjecture of Boileau, Boyer, Cebanu, and Walsh. We also provide a second obstruction to admitting hidden symmetries in the case where a small knot complement covers a manifold admitting some symmetry and at least two exceptional surgeries.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-13T03:38:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M10"
    ],
    "keywords": [
      "exceptional surgeries",
      "admitting hidden symmetries",
      "small knot complement covers",
      "second obstruction",
      "first obstruction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.3863H"
    }
  }
}