{
  "id": "math/0109059",
  "version": "v2",
  "published": "2001-09-09T21:57:57.000Z",
  "updated": "2003-01-09T14:47:08.000Z",
  "title": "Attaching handlebodies to 3-manifolds",
  "authors": [
    "Marc Lackenby"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper26.abs.html",
  "journal": "Geom. Topol. 6(2002) 889-904",
  "categories": [
    "math.GT"
  ],
  "abstract": "The main theorem of this paper is a generalisation of well known results about Dehn surgery to the case of attaching handlebodies to a simple 3-manifold. The existence of a finite set of `exceptional' curves on the boundary of the 3-manifold is established. Provided none of these curves is attached to the boundary of a disc in a handlebody, the resulting manifold is shown to be word hyperbolic and `hyperbolike'. We then give constructions of gluing maps satisfying this condition. These take the form of an arbitrary gluing map composed with powers of a suitable homeomorphism of the boundary of the handlebodies.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-01-09T14:47:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57N16",
      "57M50",
      "20F65"
    ],
    "keywords": [
      "attaching handlebodies",
      "handlebody",
      "main theorem",
      "dehn surgery",
      "finite set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}