On quantizations of complex contact manifolds

DOI10.1016/j.aim.2014.09.010zbMath1305.53087arXiv1211.4820OpenAlexW2963927001MaRDI QIDQ471676

Pietro Polesello

Publication date: 17 November 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4820

zbMATH Keywords

cohomologyquantizationstackalgebroidcomplex compact manifoldsmicrodifferential operators

Mathematics Subject Classification ID

Fibered categories (18D30) Deformation quantization, star products (53D55) Quantizations, deformations for selfadjoint operator algebras (46L65) Pseudodifferential operators in several complex variables (32W25)

Cites Work

• Weak quantization of Poisson structures
• Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems
• On the coordinate ring of a projective Poisson scheme
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• Strong rigidity of positive quaternion-Kähler manifolds
• Projective contact manifolds
• Deformations of the algebra of functions of a symplectic manifold. Comparison between Fedosov and de Wilde, Lecomte
• Quantization of contact manifolds
• Complex star algebras
• Morita classes of microdifferential algebroids
• Riemannian holonomy and algebraic geometry
• Classification of deformation quantization algebroids on complex symplectic manifolds
• Deformation quantization in algebraic geometry
• Deformation quantization of gerbes
• On the Bimeromorphic Geometry of Compact Complex Contact Threefolds
• Rozansky-Witten invariants via Atiyah classes
• Deformation quantization of algebraic varieties.
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