On global deformation quantization in the algebraic case

2006/03/08 by Michel Van den Bergh, Bergh, Michel Van den · 1 citation
Mathematics · Physics and Astronomy · #14F99 #18E99 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0603200

openalex publication_date 2006/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a proof of Yekutieli's global algebraic deformation quantization result which does not rely on the choice of local sections of the bundle of affine coordinate systems. Instead we use an argument inspired by algebraic De Rham cohomology.

Citations

• Another proof of M. Kontsevich formality theorem
• Formality conjecture for chains
• Generalized Complex Geometry
• Fedosov quantization in positive characteristic

Cited by

• Deformations of algebras in noncommutative geometry

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• Algebraic Deformation Quantization
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