{
  "id": "0705.3564",
  "version": "v1",
  "published": "2007-05-24T11:44:27.000Z",
  "updated": "2007-05-24T11:44:27.000Z",
  "title": "New results of intersection numbers on moduli spaces of curves",
  "authors": [
    "Kefeng Liu",
    "Hao Xu"
  ],
  "comment": "9 pages, a brief survey",
  "journal": "Proc.Nat.Acad.Sci.104:13896-13900,2007",
  "doi": "10.1073/pnas.0705910104",
  "categories": [
    "math.AG",
    "hep-th"
  ],
  "abstract": "We present a series of new results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the n-point functions for Witten's $\\tau$ classes, an effective recursion formula to compute higher Weil-Petersson volumes, several new recursion formulae of intersection numbers and our proof of a conjecture of Itzykson and Zuber concerning denominators of intersection numbers. We also present Virasoro and KdV properties of generating functions of general mixed $\\kappa$ and $\\psi$ intersections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-24T11:44:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "intersection numbers",
      "moduli spaces",
      "higher weil-petersson volumes",
      "simple formula",
      "kdv properties"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Proceedings of the National Academy of Science",
      "year": 2007,
      "month": "Aug",
      "volume": 104,
      "number": 35,
      "pages": 13896
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 751427,
      "adsabs": "2007PNAS..10413896L"
    }
  }
}