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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 036, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.036 (Mi sigma382) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Three Natural Generalizations of Fedosov Quantization

Klaus Bering

Institute for Theoretical Physics \& Astrophysics, Masaryk University, Kotlárská 2, CZ-611 37 Brno, Czech Republic
Full-text PDF (327 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2009.036
Abstract: Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant.
Keywords: deformation quantization; Fedosov quantization; star product; supermanifolds; symplectic geometry.
Received: May 19, 2008; in final form February 14, 2009; Published online March 25, 2009
Bibliographic databases:
Document Type: Article
MSC: 53D05; 53D55; 58A15; 58A50; 58C50; 58Z05
Language: English
Citation: Klaus Bering, “Three Natural Generalizations of Fedosov Quantization”, SIGMA, 5 (2009), 036, 21 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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