{
  "id": "math/0503581",
  "version": "v6",
  "published": "2005-03-25T07:08:35.000Z",
  "updated": "2008-09-18T02:42:47.000Z",
  "title": "Cannon-Thurston Maps for Pared Manifolds of Bounded Geometry",
  "authors": [
    "Mahan Mj"
  ],
  "comment": "57 pages, 4 figures, Final version incorporating referee's comments. To appear in Geometry and Topology",
  "journal": "Geom. Topol. 13 (2009), no. 1, 189-245",
  "doi": "10.2140/gt.2009.13.189",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let N^h be a hyperbolic 3-manifold of bounded geometry corresponding to a hyperbolic structure on a pared manifold (M,P). Further, suppose that (\\partial{M} - P) is incompressible, i.e. the boundary of M is incompressible away from cusps. Further, suppose that M_{gf} is a geometrically finite hyperbolic structure on (M,P). Then there is a Cannon- Thurston map from the limit set of M_{gf} to that of N^h. Further, the limit set of N^h is locally connected. This answers in part a question attributed to Thurston.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2008-09-18T02:42:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "bounded geometry",
      "pared manifold",
      "cannon-thurston maps",
      "limit set",
      "geometrically finite hyperbolic structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3581M"
    }
  }
}