{
  "id": "1311.4933",
  "version": "v1",
  "published": "2013-11-20T01:53:02.000Z",
  "updated": "2013-11-20T01:53:02.000Z",
  "title": "On the asymptotic behavior of complex earthquakes and Teichmüller disks",
  "authors": [
    "Subhojoy Gupta"
  ],
  "comment": "19 pages, to appear in a Contemp. Math. proceedings",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Given a hyperbolic surface and a simple closed geodesic on it, complex-twists along the curve produce a holomorphic family of deformations in Teichm\\\"{u}ller space, degenerating to the Riemann surface where it is pinched. We show there is a corresponding Teichm\\\"{u}ller disk such that the two are strongly asymptotic, in the Teichm\\\"{u}ller metric, around the noded Riemann surface. We establish a similar comparison with plumbing deformations that open the node.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-20T01:53:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F60",
      "32G15",
      "57M50"
    ],
    "keywords": [
      "asymptotic behavior",
      "complex earthquakes",
      "teichmüller disks",
      "noded riemann surface",
      "simple closed geodesic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.4933G"
    }
  }
}