{
  "id": "1108.2936",
  "version": "v1",
  "published": "2011-08-15T05:52:41.000Z",
  "updated": "2011-08-15T05:52:41.000Z",
  "title": "Annular-Efficient Triangulations of 3-manifolds",
  "authors": [
    "William Jaco",
    "J. Hyam Rubinstein"
  ],
  "comment": "21 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "A triangulation of a compact 3-manifold is annular-efficient if it is 0-efficient and the only normal, incompressible annuli are thin edge-linking. If a compact 3-manifold has an annular-efficient triangulation, then it is irreducible, boundary-irreducible, and an-annular. Conversely, it is shown that for a compact, irreducible, boundary-irreducible, and an-annular 3-manifold, any triangulation can be modified to an annular-efficient triangulation. It follows that for a manifold satisfying this hypothesis, there are only a finite number of boundary slopes for incompressible and boundary-incompressible surfaces of a bounded Euler characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-15T05:52:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N10",
      "57M99"
    ],
    "keywords": [
      "annular-efficient triangulation",
      "bounded euler characteristic",
      "boundary slopes",
      "finite number",
      "an-annular"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2936J"
    }
  }
}