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Matematicheskie Zametki, 2002, Volume 71, Issue 5, Pages 751–760
DOI: https://doi.org/10.4213/mzm383 (Mi mzm383) 		 
Moduli Spaces of Maslov Complex Germs

S. E. Roganova

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm383
Abstract: Maslov complex germs (complex vector bundles, satisfying certain additional conditions, over isotropic submanifolds of the phase space) are one of the central objects in the theory of semiclassical quantization. To these bundles one assigns spectral series (quasimodes) of partial differential operators. We describe the moduli spaces of Maslov complex germs over a point and a closed trajectory and find the moduli of complex germs generated by a given symplectic connection over an invariant torus.
Received: 23.01.2001
Revised: 09.10.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 5, Pages 684–691
DOI: https://doi.org/10.1023/A:1015844106564
Bibliographic databases:
UDC: 514+517.958
Language: Russian
Citation: S. E. Roganova, “Moduli Spaces of Maslov Complex Germs”, Mat. Zametki, 71:5 (2002), 751–760; Math. Notes, 71:5 (2002), 684–691
Citation in format AMSBIB
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