{
  "id": "math/0101201",
  "version": "v2",
  "published": "2001-01-24T18:32:24.000Z",
  "updated": "2001-01-25T19:37:32.000Z",
  "title": "Generating functions for intersection numbers on moduli spaces of curves",
  "authors": [
    "Andrei Okounkov"
  ],
  "comment": "Latex, 27 pages, 2 figures",
  "categories": [
    "math.AG",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "Using the connection between intersection theory on the Deligne-Mumford spaces and the edge scaling of the GUE matrix model (see math.CO/9903176, math.AG/0101147), we express the n-point functions for the intersection numbers as n-dimensional error-function-type integrals and also give a derivation of Witten's KdV equations using the higher Fay identities of Adler, Shiota, and van Moerbeke.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-01-25T19:37:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "intersection numbers",
      "moduli spaces",
      "generating functions",
      "higher fay identities",
      "gue matrix model"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1201O",
      "inspire": 1370064
    }
  }
}