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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 à la Kostant--Souriau.
Published by: Birkhäuser
Publication Date: 2007-11-15
Format: Paperback
ISBN-13: 9780817647308
DOI: 10.1007/978-0-8176-4731-5
Dimensions: 235cm x155cm
Pages: 302