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, 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.
Springer Book Archives
Reviews
Book Information
ISBN 9780817647308
Author Jean-Luc Brylinski
Format Paperback
Page Count 302
Imprint Birkhauser Boston Inc
Publisher Birkhauser Boston Inc
Springer Book Archives
Reviews
"The book is not only a well-written and thorough exposition of....abstract ideas, but it also treats geometric applications throughout... In addition, the book contains a nice exposition of various aspects of Cech, de Rham, and Deligne cohomology and an exposition of Grothendieck's decent theory for sheaves."
--Mathematical Reviews
Book Information
ISBN 9780817647308
Author Jean-Luc Brylinski
Format Paperback
Page Count 302
Imprint Birkhauser Boston Inc
Publisher Birkhauser Boston Inc
