{
  "id": "1112.1098",
  "version": "v3",
  "published": "2011-12-05T21:31:21.000Z",
  "updated": "2013-05-15T03:03:28.000Z",
  "title": "Bendings by finitely additive transverse cocycles",
  "authors": [
    "Dragomir Šarić"
  ],
  "comment": "34 pages, 4 figures, extra explanations added, same theorems",
  "doi": "10.1112/jtopol/jtt038",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $S$ be any closed hyperbolic surface and let $\\lambda$ be a maximal geodesic lamination on $S$. The amount of bending of an abstract pleated surface (homeomorphic to $S$) with the pleating locus $\\lambda$ is completely determined by an $(\\mathbb{R}/2\\pi\\mathbb{Z})$-valued finitely additive transverse cocycle $\\beta$ to the geodesic lamination $\\lambda$. We give a sufficient condition on $\\beta$ such that the corresponding pleating map $\\tilde{f}_{\\beta}:\\mathbb{H}^2\\to\\mathbb{H}^3$ induces a quasiFuchsian representation of the surface group $\\pi_1(S)$. Our condition is genus independent.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-05-15T03:03:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal geodesic lamination",
      "closed hyperbolic surface",
      "abstract pleated surface",
      "valued finitely additive transverse cocycle",
      "sufficient condition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.1098S"
    }
  }
}