{
  "id": "2001.05066",
  "version": "v1",
  "published": "2020-01-14T22:23:42.000Z",
  "updated": "2020-01-14T22:23:42.000Z",
  "title": "Orientable rigid cusp types covered by hyperbolic knot complements",
  "authors": [
    "Neil R Hoffman"
  ],
  "comment": "11 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "This paper completes a classification of the types of orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, $S^2(2,4,4)$ can not be the cusp cross-section of any orbifold quotient of a hyperbolic knot complement. Furthermore, if a knot complement covers an orbifold with a $S^2(2,3,6)$ cusp, it also covers an orbifold with a $S^2(3,3,3)$ cusp. We end with a discussion of non-orientable cusps, which is also informed by the main theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-14T22:23:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M10",
      "57M12"
    ],
    "keywords": [
      "hyperbolic knot complement",
      "orientable rigid cusp types",
      "knot complement covers",
      "cusp cross-section",
      "main theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}