{
  "id": "0812.0970",
  "version": "v1",
  "published": "2008-12-04T16:09:57.000Z",
  "updated": "2008-12-04T16:09:57.000Z",
  "title": "Quantum Giambelli formulas for isotropic Grassmannians",
  "authors": [
    "Anders S. Buch",
    "Andrew Kresch",
    "Harry Tamvakis"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a symplectic or odd orthogonal Grassmannian which parametrizes isotropic subspaces in a vector space equipped with a nondegenerate (skew) symmetric form. We prove quantum Giambelli formulas which express an arbitrary Schubert class in the small quantum cohomology ring of X as a polynomial in certain special Schubert classes, extending the cohomological Giambelli formulas of arXiv:0811.2781.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-04T16:09:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N35",
      "05E15",
      "14M15",
      "14N15"
    ],
    "keywords": [
      "quantum giambelli formulas",
      "isotropic grassmannians",
      "arbitrary schubert class",
      "parametrizes isotropic subspaces",
      "odd orthogonal grassmannian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0970B"
    }
  }
}