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Loop Spaces Characteristic Classes and Geometric Quantization Modern Birkhäuser Classics 1st Edition by Jean Luc Brylinski 0817647317 978-0817647315

  • SKU: BELL-2266848
Loop Spaces Characteristic Classes and Geometric Quantization Modern Birkhäuser Classics 1st Edition by Jean Luc Brylinski 0817647317 978-0817647315
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Loop Spaces Characteristic Classes and Geometric Quantization Modern Birkhäuser Classics 1st Edition by Jean Luc Brylinski 0817647317 978-0817647315 instant download after payment.

Publisher: Birkhäuser Boston
File Extension: PDF
File size: 5.73 MB
Pages: 317
Author: Jean-Luc Brylinski
ISBN: 9780817647308, 0817647309
Language: English
Year: 2007

Product desciption

Loop Spaces Characteristic Classes and Geometric Quantization Modern Birkhäuser Classics 1st Edition by Jean Luc Brylinski 0817647317 978-0817647315 by Jean-luc Brylinski 9780817647308, 0817647309 instant download after payment.

Loop Spaces Characteristic Classes and Geometric Quantization Modern Birkhäuser Classics 1st Edition by Jean Luc Brylinski - Ebook PDF Instant Download/Delivery: 978-0817647315, 0817647317

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Product details:

ISBN 10: 0817647317

ISBN 13: 978-0817647315

Author: Jean Luc Brylinski

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.

Table of contents:

Chapter 1: Introduction

Chapter 2: Complexes of Sheaves and Their Hypercohomology

Chapter 3: Line Bundles and Central Extensions

Chapter 4: Kähler Geometry of the Space of Knots

Chapter 5: Degree 3 Cohomology: The Dixmier-Douady Theory

Chapter 6: Degree 3 Cohomology: Sheaves of Groupoids

Chapter 7: Line Bundles over Loop Spaces

Chapter 8: The Dirac Monopole

Chapter 9: Bibliography

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Tags: Jean Luc Brylinski, Spaces, Characteristic, Classes

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