{
  "id": "2009.03790",
  "version": "v1",
  "published": "2020-09-08T14:37:48.000Z",
  "updated": "2020-09-08T14:37:48.000Z",
  "title": "On a connection used in deformation quantization",
  "authors": [
    "G. Rudolph",
    "M. Schmidt"
  ],
  "comment": "10 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the connection used by Bordemann, Neumaier and Waldmann to construct the Fedosov standard ordered star product on the cotangent bundle of a Riemannian manifold is obtained by symplectification of the complete lift of the corresponding Levi-Civit\\'a connection, in the sense of Yano and Patterson.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-08T14:37:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deformation quantization",
      "fedosov standard ordered star product",
      "cotangent bundle",
      "riemannian manifold",
      "complete lift"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}