Loop Spaces, Characteristic Classes and Geometric Quantization - Jean-Luc Brylinski
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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 co ... Full description
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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.
More Information
| Author | Jean-Luc Brylinski |
|---|---|
| Publisher | Birkhäuser Boston |
| Series | Modern Birkhäuser Classics |
| Release year | 2007 |
| Cover type | Softcover |
| EAN | 9780817647308 |