{
  "id": "math/0607509",
  "version": "v5",
  "published": "2006-07-20T17:37:15.000Z",
  "updated": "2013-04-28T04:22:46.000Z",
  "title": "Cannon-Thurston Maps for Surface Groups",
  "authors": [
    "Mahan Mj"
  ],
  "comment": "v3: Completely rewritten following referee's comments, combining the main result of arxiv:math.GT/0512539 with the first part of the earlier version. Second part incorporated in 1002.0996, v4: 55 pages, 5 figures. Many expository changes following referee's comments v5: Final version 66 pgs, 7 figures. To appear in Annals of Math",
  "journal": "Ann. of Math. 179 (1), pages 1-80, 2014",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove the existence of Cannon-Thurston maps for simply and doubly degenerate surface Kleinian groups. As a consequence we prove that connected limit sets of finitely generated Kleinian groups are locally connected.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-04-28T04:22:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "20F67",
      "20F65",
      "22E40"
    ],
    "keywords": [
      "cannon-thurston maps",
      "surface groups",
      "doubly degenerate surface kleinian groups",
      "finitely generated kleinian groups",
      "connected limit sets"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7509M"
    }
  }
}