Symplectic Geometry and Quantization: 31st Taniguchi International Symposium on Symplectic Geometry and Quantization Problems (Contemporary Mathematic

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Description

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.

Contents

Some remarks on the classification of Poisson Lie groups by M. Cahen, S. Gutt, and J. Rawnsley Lie groups and algebras in infinite dimension: A new approach by P. Dazord Equivariant cohomology and stationary phase by J. J. Duistermaat The Bargmann representation, generalized Dirac operators, and the index of pseudodifferential operators on $\mathbb R^{n}$ by E. Getzler Quantization by means of two-dimensional surfaces (membranes): Geometrical formulas for wave-functions by M. Karasev Vassiliev invariants and de Rham complex on the space of knots by T. Kohno Geometry of loop groups and Wess-Zumino-Witten models by H. Konno The noncommutative algebra of the quantum group $SU q(2)$ as a quantized Poisson manifold by T. Masuda and H. Omori Symplectic and Poisson structures on some loop groups by K. Mikami The Euler and Godbillon-Vey forms and symplectic structures on $Dif\, f +^\infty (S^1)/SO(2)$ by H. Moriyoshi A Tau-function for the finite Toda molecule, and information spaces by Y. Nakamura Deformation quantizations of Poisson algebras by H. Omori, Y. Maeda, and A. Yoshioka An analogue of Edmonds' theorem for loop spaces by K. Ono and S. Stolz Traces and triangles in symmetric symplectic spaces by A. Weinstein Geometric quantization of Poisson groups-Diagonal and soft deformations by S. Zakrzewski.

Product Details

• ISBN13: 9780821803028
• Format: Paperback
• Number Of Pages: 285
• ID: 9780821803028
• ISBN10: 0821803026

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