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Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics)

Jean-Luc Brylinski




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 | #3047329 in Books |  Birkhäuser |  2007-11-15 | Original language:English | PDF # 1 |  9.25 x.73 x6.10l,.95 | File type: PDF | 302 pages

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||7 of 7 people found the following review helpful.| Pretty good overview|By Dr. Lee D. Carlson|Characteristic classes, one of the most abstract and most difficult subjects to teach, are treated in this book at a level that is fairly understandable. The author endeavors to explain how characteristic classes "do their jobs" in the areas in which they are employed, and, even though he does not give an understanding of the foundatio| ||"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 expo

This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book involve anomaly line bundles on loop spaces and anomaly functionals, central extensions of loop groups, Kähler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Dirac’s quantization of...

You easily download any file type for your gadget.Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics)   |  Jean-Luc Brylinski. Which are the reasons I like to read books. Great story by a great author.

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