{
  "id": "math/0003217",
  "version": "v2",
  "published": "2000-03-30T16:18:45.000Z",
  "updated": "2001-06-20T16:42:15.000Z",
  "title": "Explicit upper bound for the Weil-Petersson volumes",
  "authors": [
    "Samuel Grushevsky"
  ],
  "comment": "13 pages, AMSTeX. Version 2: misprints and references corrected.",
  "categories": [
    "math.AG"
  ],
  "abstract": "An explicit upper bound for the Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces is obtained, using Penner's combinatorial integration scheme with embedded trivalent graphs. It is shown that for a fixed number of punctures n and for genus g going to infinity, the Weil-Petersson volume of M_{g,n} has an upper bound c^g g^{2g}. Here c is an independent of n constant, which is given explicitly.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-06-20T16:42:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "explicit upper bound",
      "weil-petersson volume",
      "penners combinatorial integration scheme",
      "punctured riemann surfaces",
      "embedded trivalent graphs"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3217G"
    }
  }
}