Loop Spaces, Characteristic Classes and Geometric Quantization (Progress in Mathematics) - Hardcover
Synopsis
Complexes of Sheaves and their Hypercohomology.- Line Bundles and Central Extensions.- Kähler Geometry of the Space of Knots.- Degree 3 The Dixmier-Douady Theory.- Degree 3 Sheaves of Groupoids.- Line Bundles over Loop Spaces.- The Dirac Monopole.
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Review
"The book is not only a well-written and thorough exposition of....abstract ideas, but it also treats geometric applications throughout... In addition, the book contains a nice exposition of various aspects of Cech, de Rham, and Deligne cohomology and an exposition of Grothendieck's decent theory for sheaves."
--Mathematical Reviews
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