Three Natural Generalizations of Fedosov Quantization

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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dc.contributor.author	Bering, K.
dc.date.accessioned	2019-02-19T18:00:11Z
dc.date.available	2019-02-19T18:00:11Z
dc.date.issued	2009
dc.identifier.citation	Three Natural Generalizations of Fedosov Quantization / K. Bering // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 46 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 53D05; 53D55; 58A15; 58A50; 58C50; 58Z05
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149170
dc.description.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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Deformation Quantization. The author thanks I.A. Batalin, D. Sternheimer and the three referees for comments. The work of K.B. is supported by the Ministry of Education of the Czech Republic under the project MSM 0021622409.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Three Natural Generalizations of Fedosov Quantization	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA