{
  "id": "math/0407160",
  "version": "v1",
  "published": "2004-07-09T04:07:54.000Z",
  "updated": "2004-07-09T04:07:54.000Z",
  "title": "Catalan numbers and Schubert polynomials for $w=1(n+1)... 2$",
  "authors": [
    "Alexander Woo"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We show that the Schubert polynomial S_w specializes to the Catalan number C_n when $w=1(n+1)...2$. Several proofs of this result as well as a q-analog are given. An application to the singularities of Schubert varieties is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-09T04:07:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E99",
      "14M15"
    ],
    "keywords": [
      "schubert polynomial",
      "catalan number",
      "schubert varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7160W"
    }
  }
}