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Loop Spaces, Characteristic Classes and Geometric Quantization - Jean-Luc Brylinski

Loop Spaces, Characteristic Classes and Geometric Quantization

By: Jean-Luc Brylinski

Paperback | 13 June 2013

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This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. The book will be of interest to topologists, geometers, Lie theorists and mathematical physicists, as well as to operator algebraists. It is written for graduate students and researchers, and will be an excellent textbook. It has a self-contained introduction to the theory of sheaves and their cohomology, line bundles and geometric prequantization a la Kostant--Souriau.

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