{
  "id": "1103.4674",
  "version": "v1",
  "published": "2011-03-24T02:55:52.000Z",
  "updated": "2011-03-24T02:55:52.000Z",
  "title": "Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes",
  "authors": [
    "Norman Do"
  ],
  "comment": "37 pages - submitted to Handbook of Moduli (edited by G. Farkas and I. Morrison)",
  "categories": [
    "math.GT",
    "math.AG",
    "math.SG"
  ],
  "abstract": "Moduli spaces of hyperbolic surfaces may be endowed with a symplectic structure via the Weil-Petersson form. Mirzakhani proved that Weil-Petersson volumes exhibit polynomial behaviour and that their coefficients store intersection numbers on moduli spaces of curves. In this survey article, we discuss these results as well as some consequences and applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-24T02:55:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15",
      "14H15",
      "53D30"
    ],
    "keywords": [
      "moduli spaces",
      "hyperbolic surfaces",
      "weil-petersson volumes",
      "coefficients store intersection numbers",
      "survey article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4674D"
    }
  }
}