Can I read Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics) on EtoBox?

Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics) by Jean-Luc Brylinski (auth.) is a nonfiction available to read on EtoBox.

What is Loop Spaces, Characteristic Classes and Geometric Quantization (Modern Birkhäuser Classics) about?

This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Various developments in mathematical physics (e.g., in knot theory, gauge theory, and topological quantum field theory) have led mathematicians and physicists to search for new geometric structures on manifolds and to seek a synthesis of ideas from geometry, topology and category theory. In this spirit, this book develops the differential geometry associated to the topology and obstruction theory of certain fiber bundles (more precisely, associated to grebes). The theory is a 3-dimensional analog of the familiar Kostant--Weil theory of line bundles. In particular the curvature now becomes a 3-form. 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, Cheeger--Chern--Simons secondary characteristics classes, and group cohomology. Finally, the last chapter deals with the Dirac monopole and Dirac's quantization of the electrical charge. The book will be of interest to topologists, geometers, Lie theoris

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

Author

Jean-Luc Brylinski (auth.)

Publisher

Birkhäuser Boston

Published

1993

Language

EN

ISBN

9780817647308

Category

nonfiction

Subjects

Mathematics, Stem