Loop Spaces, Characteristic Classes and Geometric Quantization
作者:
Jean-Luc Brylinski
出版社: Birkhäuser
出版年: 2007-11-15
页数: 318
定价: USD 44.95
装帧: Paperback
ISBN: 9780817647308
出版社: Birkhäuser
出版年: 2007-11-15
页数: 318
定价: USD 44.95
装帧: Paperback
ISBN: 9780817647308
内容简介
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, Kahler 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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