{
  "id": "1606.03810",
  "version": "v1",
  "published": "2016-06-13T04:55:00.000Z",
  "updated": "2016-06-13T04:55:00.000Z",
  "title": "The hilbert space of quantization of vortices on a Riemann surface",
  "authors": [
    "Rukmini Dey",
    "Saibal Ganguli"
  ],
  "categories": [
    "math.DG",
    "math-ph",
    "math.AG",
    "math.AT",
    "math.MP",
    "math.SG"
  ],
  "abstract": "In this paper we show that the dimension of the Hilbert space of Kahler quantization of the moduli space of vortices on a Rie mann surface is given by the holomorphic Euler characteristic of the quantu m line bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-13T04:55:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hilbert space",
      "riemann surface",
      "rie mann surface",
      "holomorphic euler characteristic",
      "line bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}