Loop Spaces, Characteristic Classes and Geometric Quantization - Couverture rigide

Brylinski, Jean-Luc

 
9780817636449: Loop Spaces, Characteristic Classes and Geometric Quantization

Synopsis

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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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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