{
  "id": "math/0512204",
  "version": "v2",
  "published": "2005-12-12T18:35:27.000Z",
  "updated": "2006-06-11T17:36:46.000Z",
  "title": "Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian",
  "authors": [
    "V. Kreiman"
  ],
  "comment": "27 pages. Version 2 contains more discussion of nonintersecting path families and additional references",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We give positive formulas for the restriction of a Schubert Class to a T-fixed point in the equivariant K-theory and equivariant cohomology of the Grassmannian. Our formulas rely on a result of Kodiyalam-Raghavan and Kreiman-Lakshmibai, which gives an equivariant Grobner degeneration of a Schubert variety in the neighborhood of a T-fixed point of the Grassmannian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-06-11T17:36:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "05E10"
    ],
    "keywords": [
      "equivariant k-theory",
      "equivariant cohomology",
      "schubert classes",
      "grassmannian",
      "t-fixed point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12204K"
    }
  }
}