{
  "id": "1712.08765",
  "version": "v1",
  "published": "2017-12-23T12:27:17.000Z",
  "updated": "2017-12-23T12:27:17.000Z",
  "title": "Stability Of The Parabolic Poincaré Bundle",
  "authors": [
    "Suratno Basu",
    "Indranil Biswas",
    "Krishanu Dan"
  ],
  "comment": "To appear in International Journal of Geometric Methods in Modern Physics",
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a compact Riemann surface $X$ and a moduli space $M_{\\alpha}(\\Lambda)$ of parabolic stable bundles on it of fixed determinant of complete parabolic flags, we prove that the Poincar\\'e parabolic bundle on $X\\times M_{\\alpha}(\\Lambda)$ is parabolic stable with respect to a natural polarization on $X\\times M_{\\alpha}(\\Lambda)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-23T12:27:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60",
      "14D20"
    ],
    "keywords": [
      "compact riemann surface",
      "complete parabolic flags",
      "poincare parabolic bundle",
      "parabolic stable bundles",
      "natural polarization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}