{
  "annotation_id": "7580b5a0-3ea0-40aa-8098-a3214eeeb157",
  "date_created": "2026-02-17T05:53:08.040000Z",
  "date_modified": "2026-02-17T05:53:08.040000Z",
  "file_hash": "e6024bef6488a57a159990f5c2c01d78d0017527060f6b915c6e5a6f98e7f6a7",
  "private": false,
  "record": {
    "abstract": "Given a contact fibration, we construct smooth families of Szeg\\\"o projections on the fibers. This allows us to define smooth families of Toeplitz operators. We apply these operators to construct a deformation quantization of prequantizable symplectic fibrations, recovering a result of Kravchenko in an analytic way. We also derive a family index for these families of Toeplitz operators. To this end, we generalize an index formula of Baum and van Erp to families.",
    "arxiv_id": "2601.06619",
    "authors": [
      "Cl\u00e9ment Cren",
      "Erfan Rezaei"
    ],
    "categories": [
      "math.DG",
      "math.KT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Families of Toeplitz operators, family index and deformation quantization",
    "url": "https://arxiv.org/abs/2601.06619",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82ebef4c-05f4-458b-9fc8-248bbf9977c0",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}