{
  "id": "0908.4037",
  "version": "v2",
  "published": "2009-08-27T16:07:32.000Z",
  "updated": "2012-02-06T05:31:49.000Z",
  "title": "Unitary representations of the fundamental group of Orbifolds",
  "authors": [
    "Indranil Biswas",
    "Amit Hogadi"
  ],
  "comment": "revised version",
  "categories": [
    "math.AG"
  ],
  "abstract": "There is a well known bijective correspondence between isomorphism classes of polystable vector bundles $E$ with $c_i(E)=0$ for $i\\geq 1$ on a smooth complex projective variety and equivalence classes of unitary representations of the fundamental group of the variety. We show that this bijective correspondence extends to smooth orbifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-06T05:31:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14J60"
    ],
    "keywords": [
      "fundamental group",
      "unitary representations",
      "smooth complex projective variety",
      "isomorphism classes",
      "bijective correspondence extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.4037B"
    }
  }
}