{
  "id": "math/9810186",
  "version": "v1",
  "published": "1998-10-23T00:00:00.000Z",
  "updated": "1998-10-23T00:00:00.000Z",
  "title": "A brief survey of the deformation theory of Kleinian groups",
  "authors": [
    "James W. Anderson"
  ],
  "comment": "27 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper2.abs.html",
  "journal": "Geom. Topol. Monogr. 1 (1998), 23-49",
  "categories": [
    "math.GT"
  ],
  "abstract": "We give a brief overview of the current state of the study of the deformation theory of Kleinian groups. The topics covered include the definition of the deformation space of a Kleinian group and of several important subspaces; a discussion of the parametrization by topological data of the components of the closure of the deformation space; the relationship between algebraic and geometric limits of sequences of Kleinian groups; and the behavior of several geometrically and analytically interesting functions on the deformation space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-23T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F40",
      "57M50"
    ],
    "keywords": [
      "kleinian group",
      "deformation theory",
      "brief survey",
      "deformation space",
      "geometric limits"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}