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Moscow Mathematical Journal, 2004, Volume 4, Number 3, Pages 559–592
DOI: https://doi.org/10.17323/1609-4514-2004-4-3-559-592 (Mi mmj164) 		 
This article is cited in 75 scientific papers (total in 75 papers)

Fedosov quantization in algebraic context

R. V. Bezrukavnikova, D. Kaledinb

a Northwestern University
b Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.17323/1609-4514-2004-4-3-559-592
URL: https://www.ams.org/distribution/mmj/vol4-3-2004/abst4-3-2004.html#bezrukavnikov-kaledin
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
Bibliographic databases:
Document Type: Article
MSC: 14F05
Language: English
Citation: R. V. Bezrukavnikov, D. Kaledin, “Fedosov quantization in algebraic context”, Mosc. Math. J., 4:3 (2004), 559–592
Citation in format AMSBIB
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\by R.~V.~Bezrukavnikov, D.~Kaledin
\paper Fedosov quantization in algebraic context
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 3
\pages 559--592
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\crossref{https://doi.org/10.17323/1609-4514-2004-4-3-559-592}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2119140}
\zmath{https://zbmath.org/?q=an:1074.14014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594800003}
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