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Coherent Transform, Quantization, and Poisson Geometry

About this Title

M. V. Karasev, Moscow Institute of Electronics and Mathematics, Moscow, Russia, Editor. Translated by M. V. Karasev and M. A. Shishkova

Publication: American Mathematical Society Translations: Series 2
Publication Year: 1998; Volume 187
ISBNs: 978-0-8218-1178-8 (print); 978-1-4704-3398-7 (online)
DOI: https://doi.org/10.1090/trans2/187
MathSciNet review: MR1728667
MSC: Primary 00B50; Secondary 53-06

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Table of Contents

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Chapters

• Mikhail Karasev and Elena Novikova – Non-Lie permutation relations, coherent states, and quantum embedding
• Mikhail Karasev and Yurii Vorobjev – Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds
• Vladimir Itskov, Mikhail Karasev and Yurii Vorobjev – Infinitesimal Poisson cohomology