Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics)

Brylinski, Jean-Luc

ISBN 10: 0817647309 / ISBN 13: 9780817647308

Edité par Birkhäuser, 2007

In. N° de réf. du vendeur ria9780817647308_new

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, 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.

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.

Détails bibliographiques

Titre : Loop Spaces, Characteristic Classes and ...
Éditeur : Birkhäuser
Date d'édition : 2007
Reliure : Couverture souple
Etat : New