Loop Spaces, Characteristic Classes and Geometric Quantization

AvJean-Luc Brylinski

Häftad, Engelska, 2007

Del i serien Modern Birkhäuser Classics

831 kr

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Fler format och utgåvor

E-bok

1 053 kr

Övrigt

646 kr

Beskrivning

This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. The book will be of interest to topologists, geometers, Lie theorists and mathematical physicists, as well as to operator algebraists. It is written for graduate students and researchers, and will be an excellent textbook. It has a self-contained introduction to the theory of sheaves and their cohomology, line bundles and geometric prequantization à la Kostant--Souriau.

Produktinformation

Utgivningsdatum:2007-11-15
Mått:155 x 235 x 18 mm
Vikt:487 g
Format:Häftad
Språk:Engelska
Serie:Modern Birkhäuser Classics
Antal sidor:302
Förlag:Birkhauser Boston Inc
ISBN:9780817647308

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Recensioner i media

"The book is not only a well-written and thorough exposition of...abstract ideas, but it also treats geometric applications throughout... In addition, the book contains a nice exposition of various aspects of Cech, de Rham, and Deligne cohomology and an exposition of Grothendieck's decent theory for sheaves." --Mathematical Reviews

Innehållsförteckning

Complexes of Sheaves and their Hypercohomology.- Line Bundles and Central Extensions.- Kähler Geometry of the Space of Knots.- Degree 3 Cohomology: The Dixmier-Douady Theory.- Degree 3 Cohomology: Sheaves of Groupoids.- Line Bundles over Loop Spaces.- The Dirac Monopole.

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