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Advances in the Mathematical Sciences
Coherent Transform, Quantization, and Poisson Geometry
Edited by: M. V. Karasev, Moscow Institute of Electronics and Mathematics, Russia

American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
1998; 360 pp; hardcover
Volume: 187
ISBN-10: 0-8218-1178-9
ISBN-13: 978-0-8218-1178-8
List Price: US$145
Member Price: US$116
Order Code: TRANS2/187
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This volume contains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.


Graduate students and mathematics and physics researchers working in general quantization theory, symplectic geometry, Hamilton dynamics and representation theory.

Table of Contents

  • M. Karasev and E. Novikova -- Non-Lie permutation relations, coherent states, and quantum embedding
  • M. Karasev and Y. Vorobjev -- Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds
  • V. Itskov, M. Karasev, and Y. Vorobjev -- Infinitesimal Poisson cohomology
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