Loop Spaces, Characteristic Classes and Geometric Quantization

Loop Spaces, Characteristic Classes and Geometric Quantization
Author :
Publisher : Springer Science & Business Media
Total Pages : 318
Release :
ISBN-10 : 9780817647315
ISBN-13 : 0817647317
Rating : 4/5 (15 Downloads)

Book Synopsis Loop Spaces, Characteristic Classes and Geometric Quantization by : Jean-Luc Brylinski

Download or read book Loop Spaces, Characteristic Classes and Geometric Quantization written by Jean-Luc Brylinski and published by Springer Science & Business Media. This book was released on 2009-12-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the electrical charge.


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