{
  "id": "math/0604358",
  "version": "v2",
  "published": "2006-04-16T20:29:43.000Z",
  "updated": "2009-04-23T08:52:44.000Z",
  "title": "Homeomorphisms which are Dehn twists on the boundary",
  "authors": [
    "Darryl McCullough"
  ],
  "comment": "This is the version published by Algebraic & Geometric Topology on 20 September 2006",
  "journal": "Algebr. Geom. Topol. 6 (2006) 1331-1340",
  "doi": "10.2140/agt.2006.6.1331",
  "categories": [
    "math.GT"
  ],
  "abstract": "A homeomorphism of a 3-manifold M is said to be Dehn twists on the boundary when its restriction to the boundary of M is isotopic to the identity on the complement of a collection of disjoint simple closed curves in the boundary of M. In this paper, we give various results about such collections of curves and the associated homeomorphisms. In particular, if M is compact, orientable, irreducible and the boundary of M is a single torus, and M admits a homeomorphism which is a nontrivial Dehn twist on the boundary of M, then M must be a solid torus.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-23T08:52:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "57R50"
    ],
    "keywords": [
      "nontrivial dehn twist",
      "disjoint simple closed curves",
      "collection",
      "single torus",
      "solid torus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4358M"
    }
  }
}