{
  "id": "math/0307186",
  "version": "v1",
  "published": "2003-07-13T17:47:27.000Z",
  "updated": "2003-07-13T17:47:27.000Z",
  "title": "Coordinates for the moduli space of flat PSL(2,R)-connections",
  "authors": [
    "R. M. Kashaev"
  ],
  "comment": "12 pages, no figures",
  "categories": [
    "math.GT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Let M be the moduli space of irreducible flat PSL(2,R) connections on a punctured surface of finite type with parabolic holonomies around punctures. By using a notion of admissibility of an ideal arc, M is covered by dense open subsets associated to ideal triangulations of the surface. A principal bundle over M is constructed which, when restricted to the Teichmuller component of M, is isomorphic to the decorated Teichmuller space of Penner. The construction gives a generalization to M of Penner's coordinates for the Teichmuller space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-13T17:47:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15",
      "22E40"
    ],
    "keywords": [
      "moduli space",
      "decorated teichmuller space",
      "teichmuller component",
      "finite type",
      "principal bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7186K"
    }
  }
}