{
  "id": "0712.1539",
  "version": "v2",
  "published": "2007-12-10T17:17:29.000Z",
  "updated": "2008-08-01T10:02:32.000Z",
  "title": "Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots",
  "authors": [
    "Stefano Francaviglia",
    "Joan Porti"
  ],
  "comment": "References updated and some minor changes",
  "journal": "Pacific Journal of Mathematics 238 (2008), No. 2, 249-274.",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in $SO_0(4,1)$. Here rigidity means that any discrete and faithful representation in $SO_0(4,1)$ is conjugate to the holonomy representation in $SO_0(3,1)$. We also show local rigidity for almost all Dehn fillings.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-01T10:02:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "dehn fillings",
      "bridge knot",
      "holonomy representation",
      "local rigidity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.1539F"
    }
  }
}