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This article is cited in 70 scientific papers (total in 70 papers)
Fedosov quantization in algebraic context
R. V. Bezrukavnikova, D. Kaledinb a Northwestern University
b Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. We 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. We also give a lassification of all possible quantizations.
Key words and phrases:
Formal geometry, quantization.
Received: September 11, 2003
Citation:
R. V. Bezrukavnikov, D. Kaledin, “Fedosov quantization in algebraic context”, Mosc. Math. J., 4:3 (2004), 559–592
Linking options:
https://www.mathnet.ru/eng/mmj164 https://www.mathnet.ru/eng/mmj/v4/i3/p559
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