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.
- ISBN13 9780817647308
- Publish Date 15 November 2007 (first published December 1992)
- Publish Status Active
- Publish Country US
- Imprint Birkhauser Boston Inc
- Edition Reprint of the 1993 ed.
- Format Paperback
- Pages 302
- Language English