{
  "id": "math/9801120",
  "version": "v1",
  "published": "1998-01-27T14:17:16.000Z",
  "updated": "1998-01-27T14:17:16.000Z",
  "title": "Toroidal and Boundary-Reducing Dehn Fillings",
  "authors": [
    "C. McA. Gordon",
    "J. Luecke"
  ],
  "comment": "12 pp., AmSTeX, 6 figs.[uses epsf], Topology Appl. (to appear)",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let M be a simple 3-manifold with a toral boundary component partial_0 M. If Dehn filling M along partial_0 M one way produces a toroidal manifold and Dehn filling M along partial_0 M another way produces a boundary-reducible manifold, then we show that the absolute value of the intersection number on partial_0 M of the two filling slopes is at most two. In the special case that the boundary-reducing filling is actually a solid torus and the intersection number between the filling slopes is two, more is said to describe the toroidal filling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-01-27T14:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "boundary-reducing dehn fillings",
      "way produces",
      "intersection number",
      "toral boundary component",
      "filling slopes"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......1120M"
    }
  }
}