{
  "id": "2312.07595",
  "version": "v1",
  "published": "2023-12-11T10:33:40.000Z",
  "updated": "2023-12-11T10:33:40.000Z",
  "title": "Deformation quantization and perverse sheaves",
  "authors": [
    "Sam Gunningham",
    "Pavel Safronov"
  ],
  "comment": "45 pages",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "Kashiwara, Polesello, Schapira and D'Agnolo defined canonical deformation quantizations of a holomorphic symplectic manifold and a holomorphic Lagrangian submanifold equipped with an orientation data. The goal of this paper is to describe the RHom complex between two such deformation quantization modules associated to a pair of Lagrangian submanifolds in terms of the derived geometry of the Lagrangian intersection. Namely, we identify the RHom complex with the DT sheaf associated to the d-critical structure on the Lagrangian intersection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-11T10:33:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perverse sheaves",
      "rhom complex",
      "lagrangian intersection",
      "holomorphic symplectic manifold",
      "holomorphic lagrangian submanifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}