{
  "id": "0910.2408",
  "version": "v1",
  "published": "2009-10-13T14:48:26.000Z",
  "updated": "2009-10-13T14:48:26.000Z",
  "title": "Examples of reducible and finite Dehn fillings",
  "authors": [
    "Sungmo Kang"
  ],
  "comment": "19 pages, 8 figures and to appear in Journal of Knot Theory and Its Ramifications",
  "categories": [
    "math.GT"
  ],
  "abstract": "If a hyperbolic 3-manifold M admits a reducible and a finite Dehn filling, the distance between the filling slopes is known to be 1. This has been proved recently by Boyer, Gordon and Zhang. The first example of a manifold with two such fillings was given by Boyer and Zhang. In this paper, we give examples of hyperbolic manifolds admitting a reducible Dehn filling and a finite Dehn filling of every type: cyclic, dihedral, tetrahedral, octahedral and icosahedral.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-13T14:48:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite dehn filling",
      "first example",
      "hyperbolic manifolds admitting",
      "filling slopes",
      "reducible dehn"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2408K"
    }
  }
}