2010/06/02 by Andrea D’Agnolo, Masaki Kashiwara, D'Agnolo, Andrea +1
Mathematics · #14J32 #32C38 #53D99 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1006.0306
openalex publication_date 2010/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
To a complex symplectic manifold X we associate a canonical quantization algebroid. Our construction is similar to that of Polesello-Schapira's deformation-quantization algebroid, but the deformation parameter is no longer central. If X is compact, the triangulated category of regular holonomic quantization modules is a linear complex Calabi-Yau category of dimension 1 + dim X.