Loop Spaces, Characteristic Classes and Geometric Quantization
Jean-Luc Brylinski
Dec 2009 · Springer Science & Business Media
Ebook
302
Pages
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About this ebook
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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