Quantum Algebras and Poisson Geometry in Mathematical Physics

This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics. In addition to advanced Poisson geometry, the methods used by the authors include unexpected algebras with non-Lie commutation relations, nontrivial (quantum) Kahlerian structures of hypergeometric type, dynamical systems theory, semiclassical asymptotics, and more. The volume is suitable for graduate students and researchers interested in mathematical physics. Other AMS publications by M. Karasev include Nonlinear Poisson Brackets ; Geometry and Quantization , Coherent Transform, Quantization, and Poisson Geometry , and Asymptotic Methods for Wave and Quantum Problems .