Moduli Spaces of Maslov Complex Germs

S. E. Roganova

Matematičeskie zametki, Tome 71 (2002) no. 5, pp. 751-760.

Résumé

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.

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