{
  "id": "math/0010164",
  "version": "v1",
  "published": "2000-10-16T19:26:19.000Z",
  "updated": "2000-10-16T19:26:19.000Z",
  "title": "Some new behaviour in the deformation theory of Kleinian groups",
  "authors": [
    "John Holt"
  ],
  "comment": "20 pages; 2 figures. To be published in Comm. in Anal and Geom",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present examples of hyperbolizable 3-manifolds $M$ with the following property. Let $CC(\\pi_1(M))$ denote the space of convex co-compact representations of $\\pi_1(M)$. We show that for every $K\\geq 1$ there exists a representation $\\rho$ in $\\bar {CC(\\pi_1(M))}$ so that every $K$-quasiconformal deformation of $\\rho$ lies in the closure of every component of $CC(\\pi_1(M))$. The examples $M$ were discovered by Anderson and Canary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-16T19:26:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "deformation theory",
      "kleinian groups",
      "convex co-compact representations",
      "quasiconformal deformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....10164H"
    }
  }
}