Contemporary Mathematics 1994; 285 pp; softcover Volume: 179 ISBN10: 0821803026 ISBN13: 9780821803028 List Price: US$63 Member Price: US$50.40 Order Code: CONM/179
 This volume contains the refereed proceedings of two symposia on symplectic geometry and quantization problems which were held in Japan in July 1993. The purpose of the symposia was to discuss recent progress in a range of related topics in symplectic geometry and mathematical physics, including symplectic groupoids, geometric quantization, noncommutative differential geometry, equivariant cohomology, deformation quantization, topological quantum field theory, and knot invariants. The book provides insight into how these different topics relate to one another and offers intriguing new problems. Providing a look at the frontier of research in symplectic geometry and quantization, this book is suitable as a source book for a seminar in symplectic geometry. Readership Graduate students and researchers Table of Contents  M. Cahen, S. Gutt, and J. Rawnsley  Some remarks on the classification of Poisson Lie groups
 P. Dazord  Lie groups and algebras in infinite dimension: A new approach
 J. J. Duistermaat  Equivariant cohomology and stationary phase
 E. Getzler  The Bargmann representation, generalized Dirac operators, and the index of pseudodifferential operators on \(\mathbb R^{n}\)
 M. Karasev  Quantization by means of twodimensional surfaces (membranes): Geometrical formulas for wavefunctions
 T. Kohno  Vassiliev invariants and de Rham complex on the space of knots
 H. Konno  Geometry of loop groups and WessZuminoWitten models
 T. Masuda and H. Omori  The noncommutative algebra of the quantum group \(SU_q(2)\) as a quantized Poisson manifold
 K. Mikami  Symplectic and Poisson structures on some loop groups
 H. Moriyoshi  The Euler and GodbillonVey forms and symplectic structures on \(Dif\, f_+^\infty (S^1)/SO(2)\)
 Y. Nakamura  A Taufunction for the finite Toda molecule, and information spaces
 H. Omori, Y. Maeda, and A. Yoshioka  Deformation quantizations of Poisson algebras
 K. Ono and S. Stolz  An analogue of Edmonds' theorem for loop spaces
 A. Weinstein  Traces and triangles in symmetric symplectic spaces
 S. Zakrzewski  Geometric quantization of Poisson groupsDiagonal and soft deformations
