Loop Spaces, Characteristic Classes and Geometric Quantization

Loop Spaces, Characteristic Classes and Geometric Quantization PDF Author: Jean-Luc Brylinski
Publisher: Springer Science & Business Media
ISBN: 0817647317
Category : Mathematics
Languages : en
Pages : 318

Get Book Here

Book Description
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.