{
  "id": "math/0101138",
  "version": "v4",
  "published": "2001-01-17T02:32:23.000Z",
  "updated": "2003-01-11T22:11:23.000Z",
  "title": "Volume change under drilling",
  "authors": [
    "Ian Agol"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper27.abs.html",
  "journal": "Geom. Topol. 6(2002) 905-916",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Given a hyperbolic 3-manifold M containing an embedded closed geodesic, we estimate the volume of a complete hyperbolic metric on the complement of the geodesic in terms of the geometry of M. As a corollary, we show that the smallest volume orientable hyperbolic 3-manifold has volume >.32 .",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-01-11T22:11:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "53C15",
      "53C22"
    ],
    "keywords": [
      "volume change",
      "smallest volume orientable hyperbolic",
      "complete hyperbolic metric",
      "complement",
      "embedded closed geodesic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}