{
  "id": "math/0611669",
  "version": "v1",
  "published": "2006-11-22T05:24:39.000Z",
  "updated": "2006-11-22T05:24:39.000Z",
  "title": "Characteristic Subsurfaces, Character Varieties and Dehn Filling",
  "authors": [
    "Steve Boyer",
    "Marc Culler",
    "Peter B. Shalen",
    "Xingru Zhang"
  ],
  "comment": "60 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give new bounds for the distance between two exceptional filling slopes for a 1-cusped hyperbolic 3-manifold in several different situations. The distance between a reducible slope and a slope that produces a manifold with finite fundamental group is at most 2. The distance between a reducible slope and one that produces a very small manifold is also at most 2. The distance between a reducible slope and one which produces a manifold with a pi_1 injective torus is at most 4. The methods used involve both characteristic submanifold theory and the theory of the PSL(2,C) character variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-22T05:24:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "character variety",
      "characteristic subsurfaces",
      "dehn filling",
      "reducible slope",
      "finite fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11669B"
    }
  }
}