{
  "id": "1111.4838",
  "version": "v1",
  "published": "2011-11-21T11:40:01.000Z",
  "updated": "2011-11-21T11:40:01.000Z",
  "title": "Quantization of some moduli spaces of parabolic vector bundles on CP^1",
  "authors": [
    "Indranil Biswas",
    "Carlos Florentino",
    "José Mourão",
    "João P. Nunes"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP",
    "math.SG"
  ],
  "abstract": "We address quantization of the natural symplectic structure on a moduli space of parabolic vector bundles of parabolic degree zero over $\\mathbf{CP}^1$ with four parabolic points and parabolic weights in {0,1/2}. Identifying such parabolic bundles as vector bundles on an elliptic curve, we obtain explicit expressions for the corresponding non-abelian theta functions. These non-abelian theta functions are described in terms of certain naturally defined distributions on the compact group SU(2).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-21T11:40:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D50",
      "14H60"
    ],
    "keywords": [
      "parabolic vector bundles",
      "moduli space",
      "parabolic degree zero",
      "corresponding non-abelian theta functions",
      "natural symplectic structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.4838B"
    }
  }
}