On global deformation quantization in the algebraic case

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.

60 pages; references added; relation to Hinich's work explained

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Cited by in corpus (3)

• Deformations of algebras in noncommutative geometry
• A sheaf of Hochschild complexes on quasi-compact opens
• The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal