Loop Spaces, Characteristic Classes and Geometric Quantization

Loop Spaces, Characteristic Classes and Geometric Quantization

Author: Jean-Luc Brylinski

Publisher: Springer Science & Business Media

Published: 2009-12-30

Total Pages: 318

ISBN-13: 0817647317

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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 covers the Dirac monopole and Dirac’s quantization of the electrical charge.


FCC Record

FCC Record

Author: United States. Federal Communications Commission

Publisher:

Published: 2003

Total Pages: 924

ISBN-13:

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Philosophical Transactions of the Royal Society of London

Philosophical Transactions of the Royal Society of London

Author: Royal Society (Great Britain)

Publisher:

Published: 1921

Total Pages: 460

ISBN-13:

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Contains papers on mathematics or physics. Continued by Philosophical transactions, Physical sciences and engineering and Philosophical transactions, Mathematical, physical and engineering sciences.