{
  "id": "0706.4403",
  "version": "v1",
  "published": "2007-06-29T12:46:44.000Z",
  "updated": "2007-06-29T12:46:44.000Z",
  "title": "Recursion between Mumford volumes of moduli spaces",
  "authors": [
    "Bertrand Eynard"
  ],
  "comment": "Latex, 18 pages",
  "categories": [
    "math.AG",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We propose a new proof, as well as a generalization of Mirzakhani's recursion for volumes of moduli spaces. We interpret those recursion relations in terms of expectation values in Kontsevich's integral, i.e. we relate them to a Ribbon graph decomposition of Riemann surfaces. We find a generalization of Mirzakhani's recursions to measures containing all higher Mumford's kappa classes, and not only kappa1 as in the Weil-Petersson case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-29T12:46:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli spaces",
      "mumford volumes",
      "mirzakhanis recursion",
      "higher mumfords kappa classes",
      "ribbon graph decomposition"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.4403E"
    }
  }
}