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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 106, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.106 (Mi sigma664) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Classical and Quantum Dynamics on Orbifolds

Yuri A. Kordyukov

Institute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky Str., Ufa 450008, Russia
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DOI: https://doi.org/10.3842/SIGMA.2011.106
Abstract: We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit space of a Lie group action, and deals with the corresponding objects in noncommutative geometry.
Keywords: microlocal analysis, noncommutative geometry, symplectic reduction, quantization, foliation, orbifold, Hamiltonian dynamics, elliptic operators.
Received: September 4, 2011; in final form November 20, 2011; Published online November 23, 2011
Bibliographic databases:
Document Type: Article
MSC: 58J40; 58J42; 58B34
Language: English
Citation: Yuri A. Kordyukov, “Classical and Quantum Dynamics on Orbifolds”, SIGMA, 7 (2011), 106, 12 pp.
Citation in format AMSBIB
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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