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Fedosov quantization in algebraic context. (English) Zbl 1074.14014

The authors consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. They show that, under appropriate cohomological assumptions, the Fedosov quantization procedure goes through with minimal changes. The assumptions are satisfied, for example, for affine and for projective varieties. They also give a classification of all possible quantizations.

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
53B50 Applications of local differential geometry to the sciences
53D55 Deformation quantization, star products
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