{
  "id": "math/0303013",
  "version": "v4",
  "published": "2003-03-02T03:31:12.000Z",
  "updated": "2005-07-21T18:59:00.000Z",
  "title": "Quantum Generalization of the Horn Conjecture",
  "authors": [
    "Prakash Belkale"
  ],
  "comment": "51 pages, no figures",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We prove a theorem which implies a quantum (multiplicative) analogue of the Horn conjecture, and also of the saturation conjecture. We obtain transversality statements for quantum schubert calculus in any characteristic and also determine the smallest power of q in an arbitrary (small quantum) product of Schubert varieties in a Grassmannian.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2005-07-21T18:59:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N15",
      "14N35"
    ],
    "keywords": [
      "horn conjecture",
      "quantum generalization",
      "quantum schubert calculus",
      "saturation conjecture",
      "transversality statements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3013B"
    }
  }
}