{
  "id": "math/0303207",
  "version": "v2",
  "published": "2003-03-17T18:56:44.000Z",
  "updated": "2004-04-26T13:47:54.000Z",
  "title": "Combinatorial classes on the moduli space of curves are tautological",
  "authors": [
    "Gabriele Mondello"
  ],
  "comment": "LaTeX2e, 57 pages, 16 figures (XYpic and PSTeX), to appear on IMRN",
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "The combinatorial description via ribbon graphs of the moduli space of Riemann surfaces makes it possible to define combinatorial cycles in a natural way. Witten and Kontsevich first conjectured that these classes are polynomials in the tautological classes. We answer affirmatively to this conjecture and find recursively all the polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-04-26T13:47:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15"
    ],
    "keywords": [
      "moduli space",
      "combinatorial classes",
      "tautological",
      "define combinatorial cycles",
      "polynomials"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3207M"
    }
  }
}