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

Brand: Birkhuser

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$99.30 - $102.76
UPC:
9780817647308
Binding:
Paperback
Publication Date:
11/15/2007
Author:
Jean-Luc Brylinski
Language:
english
Edition:
Reprint of the 1993 ed.
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Product Overview

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, Khler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Diracs quantization of the electrical charge.