{
  "id": "1203.4201",
  "version": "v1",
  "published": "2012-03-19T19:00:49.000Z",
  "updated": "2012-03-19T19:00:49.000Z",
  "title": "Berezin-Toeplitz quantization and its kernel expansion",
  "authors": [
    "Xiaonan Ma",
    "George Marinescu"
  ],
  "comment": "34 pages",
  "journal": "Travaux Math\\'ematiques, Special Issue: Geometry and Quantization, Lectures of the school GEOQUANT 2009 at the University of Luxembourg, Volume XIX, 2011, 125-166",
  "categories": [
    "math.DG",
    "math-ph",
    "math.CV",
    "math.MP",
    "math.QA",
    "math.SG"
  ],
  "abstract": "We survey recent results about the asymptotic expansion of Toeplitz operators and their kernels, as well as Berezin-Toeplitz quantization. We deal in particular with calculation of the first coefficients of these expansions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-19T19:00:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D50",
      "53C21",
      "32Q15"
    ],
    "keywords": [
      "berezin-toeplitz quantization",
      "kernel expansion",
      "first coefficients",
      "toeplitz operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.4201M"
    }
  }
}