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Loop Spaces, Characteristic Classes and Geometric Quantization

Loop Spaces, Characteristic Classes and Geometric Quantization

Paperback

Series: Modern Birkhäuser Classics

General MathematicsGeometryPhysics

ISBN10: 0817647309
ISBN13: 9780817647308
Publisher: Springer Nature
Published: Nov 15 2007
Pages: 302
Weight: 0.95
Height: 0.70 Width: 6.10 Depth: 9.10
Language: English

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 à la Kostant--Souriau.

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Geometry