{
  "id": "math/0006086",
  "version": "v1",
  "published": "2000-06-12T13:25:35.000Z",
  "updated": "2000-06-12T13:25:35.000Z",
  "title": "On the converse to a theorem of Atiyah and Bott",
  "authors": [
    "Robert Friedman",
    "John W. Morgan"
  ],
  "comment": "Latex file, 34 pages, 5 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let G be a complex reductive group and let C be a smooth curve of genus at least one. We prove a converse to a theorem of Atiyah-Bott concerning the stratification of the space of holomorphic G-bundles on C. In case the genus of C is one, we establish that one has a stratification in the strong sense. The paper concludes with a characterization of the minimally unstable strata in case G is simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-12T13:25:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smooth curve",
      "paper concludes",
      "complex reductive group",
      "holomorphic g-bundles",
      "strong sense"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6086F"
    }
  }
}