Fedosov quantization in positive characteristic

DOI10.1090/S0894-0347-07-00585-1zbMath1138.53067arXivmath/0501247OpenAlexW2086393549MaRDI QIDQ5441369

Roman Bezrukavnikov, Dmitry Kaledin

Publication date: 12 February 2008

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501247

zbMATH Keywords

Poisson structurequantized algebrasFedosov quantization

Mathematics Subject Classification ID

Deformation quantization, star products (53D55)

Related Items (18)

Quantization on algebraic curves with Frobenius-projective structure ⋮ Restricted Poisson algebras ⋮ The 2-leg vertex in \(K\)-theoretic DT theory ⋮ Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution ⋮ Completions of symplectic reflection algebras. ⋮ On the Bezrukavnikov–Kaledin quantization of symplectic varieties in characteristic p ⋮ Noncommutative crepant resolutions, an overview ⋮ On the local structure of quantizations in characteristic p ⋮ Quantum difference equation for Nakajima varieties ⋮ On global deformation quantization in the algebraic case ⋮ Elliptic stable envelopes ⋮ On the Azumaya locus of almost commutative algebras ⋮ On the center of the ring of differential operators on a smooth variety over ℤ/pⁿℤ ⋮ A Morita theorem for modular finite \(W\)-algebras ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Deformation quantization in algebraic geometry ⋮ Quantization of restricted Lagrangian subvarieties in positive characteristic ⋮ Steenrod operators, the Coulomb branch and the Frobenius twist

Cites Work

• Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
• Lectures on \(p\)-divisible groups
• Deformation quantization in algebraic geometry
• Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
• Deformation quantization of algebraic varieties.
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