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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 2, Pages 280–296
DOI: https://doi.org/10.4213/tmf9907 (Mi tmf9907) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Deformation quantization of framed presymplectic manifolds

N. D. Gorev, B. M. Elfimov, A. A. Sharapov

Tomsk State University, Tomsk, Russia
Full-text PDF (515 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9907
Abstract: We consider the problem of deformation quantization of presymplectic manifolds in the framework of the Fedosov method. A class of special presymplectic manifolds is distinguished for which such a quantization can always be constructed. We show that in the general case, the obstructions to quantization can be identified with some special elements of the third cohomology group of a differential ideal associated with the presymplectic structure.
Keywords: presymplectic manifold, deformation quantization, Fedosov quantization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0721-2020-0033
This research was performed in the framework of a government assignment by the Russian Ministry of Education and Science (Project No. 0721-2020-0033).
Received: 15.03.2020
Revised: 15.03.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 2, Pages 1079–1092
DOI: https://doi.org/10.1134/S0040577920080085
Bibliographic databases:
Document Type: Article
PACS: 03.65.Ca
MSC: 53D55
Language: Russian
Citation: N. D. Gorev, B. M. Elfimov, A. A. Sharapov, “Deformation quantization of framed presymplectic manifolds”, TMF, 204:2 (2020), 280–296; Theoret. and Math. Phys., 204:2 (2020), 1079–1092
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9907
  • https://www.mathnet.ru/eng/tmf/v204/i2/p280
    • This publication is cited in the following 2 articles:
    1. B. M. Elfimov, A. A. Sharapov, “Deformation quantization of contact manifolds”, Lett. Math. Phys., 112:6 (2022)  crossref
    2. A. Sharapov, E. Skvortsov, “Higher spin gravities and presymplectic AKSZ models”, Nucl. Phys. B, 972 (2021), 115551  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:49
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