Modules over deformation quantization algebroids: An overview
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Publication:835663
DOI10.1007/s11005-009-0297-4zbMath1196.53054OpenAlexW2160162714MaRDI QIDQ835663
Pierre Schapira, Masaki Kashiwara
Publication date: 31 August 2009
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-009-0297-4
Sheaves of differential operators and their modules, (D)-modules (32C38) Deformation quantization, star products (53D55) Quantizations, deformations for selfadjoint operator algebras (46L65)
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Cites Work
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- General concept of quantization
- Weak quantization of Poisson structures
- The Mukai pairing. II: The Hochschild-Kostant-Rosenberg isomorphism.
- The relative Riemann-Roch theorem from Hochschild homology
- The Van den Bergh duality and the modular symmetry of a Poisson variety
- The homology of algebras of pseudo-differential symbols and the noncommutative residue
- Deformation theory and quantization. I: Deformations of symplectic structures
- Riemann-Roch theorems via deformation quantization. I
- Deformation quantization of Poisson manifolds
- Quantization of contact manifolds
- Deformation quantization modules
- The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
- An algebraic index theorem for Poisson manifolds
- A relation between Hochschild homology and cohomology for Gorenstein rings
- Categories and Sheaves
- The additivity of traces in triangulated categories