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Loop Spaces, Characteristic Classes and Geometric Quantization

by Jean-Luc Brylinski

๐Ÿ“– The Scoop

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, Kรคhler geometry of the space of knots, and Cheeger--Chern--Simons secondary characteristics classes. It also covers the Dirac monopole and Diracโ€™s quantization of the electrical charge.

Genre: Mathematics / Geometry / Differential (fancy, right?)

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