{
  "id": "1608.06576",
  "version": "v1",
  "published": "2016-08-23T16:57:19.000Z",
  "updated": "2016-08-23T16:57:19.000Z",
  "title": "From topological field theory to deformation quantization and reduction",
  "authors": [
    "Alberto S. Cattaneo"
  ],
  "comment": "26 pages. This is my contribution to ICM 2006 which I never uploaded on the arXiv",
  "journal": "Proceedings of ICM 2006, Vol. III, 339-365 (European Mathematical Society, 2006)",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.QA",
    "math.SG"
  ],
  "abstract": "This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds and reduction of certain submanifolds. A brief introduction to smooth graded manifolds and to the Batalin-Vilkovisky formalism is included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-23T16:57:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T45",
      "51P05",
      "53D55",
      "58A50",
      "81T70"
    ],
    "keywords": [
      "topological field theory",
      "deformation quantization",
      "two-dimensional topological field theories",
      "poisson manifolds",
      "functional-integral quantization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}