{
  "id": "1406.5159",
  "version": "v3",
  "published": "2014-06-19T19:20:06.000Z",
  "updated": "2015-11-13T18:14:38.000Z",
  "title": "Berezin-Toeplitz quantization, hyperkahler manifolds, and multisymplectic manifolds",
  "authors": [
    "Tatyana Barron",
    "Baran Serajelahi"
  ],
  "comment": "minor changes; to appear in Glasgow Math. J",
  "categories": [
    "math.DG"
  ],
  "abstract": "We suggest a way to quantize, using Berezin-Toeplitz quantization, a compact hyperkahler manifold (equipped with a natural 3-plectic form), or a compact integral Kahler manifold of complex dimension n regarded as a (2n-1)-plectic manifold. We show that quantization has reasonable semiclassical properties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-08T20:32:24.000Z",
      "comment": "23 pages; references added, other revisions",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-11-13T18:14:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D50",
      "53C55",
      "53C26",
      "81S10",
      "53C80"
    ],
    "keywords": [
      "berezin-toeplitz quantization",
      "multisymplectic manifolds",
      "compact integral kahler manifold",
      "compact hyperkahler manifold",
      "complex dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1301613,
      "adsabs": "2014arXiv1406.5159B"
    }
  }
}