{
  "id": "0909.5520",
  "version": "v1",
  "published": "2009-09-30T06:32:46.000Z",
  "updated": "2009-09-30T06:32:46.000Z",
  "title": "Deformation of line bundles on coisotropic subvarieties",
  "authors": [
    "Vladimir Baranovsky",
    "Victor Ginzburg",
    "Jeremy Pecharich"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "We prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with an algebraic Poisson structure, admits a first order deformation quantization.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-30T06:32:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D15"
    ],
    "keywords": [
      "line bundle",
      "first order deformation quantization",
      "smooth coisotropic subvariety",
      "algebraic poisson structure",
      "smooth variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.5520B"
    }
  }
}