Moduli Spaces of Maslov Complex Germs

S. E. Roganova

M. V. Lomonosov Moscow State University

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.

UDC: 514+517.958

Received: 23.01.2001
Revised: 09.10.2001

DOI: 10.4213/mzm383

 English version: Mathematical Notes, 2002, 71:5, 684–691

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