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Loop spaces, characteristic classes, and geometric quantization

Author: J -L Brylinski
Publisher: Boston : Birkhäuser, ©2008.
Series: Modern Birkhäuser classics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Brylinski, J.-L (Jean-Luc).
Loop spaces, characteristic classes, and geometric quantization.
Boston : Birkhäuser, ©2008
(DLC) 2007936854
(OCoLC)181090530
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J -L Brylinski
ISBN: 9780817647315 0817647317 9780817647308 0817647309
OCLC Number: 525076090
Description: 1 online resource (xvi, 300 pages) : illustrations.
Contents: Complexes of Sheaves and their Hypercohomology.- Line Bundles and Central Extensions.- Kahler 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.
Series Title: Modern Birkhäuser classics.
Responsibility: Jean-Luc Brylinski.

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"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 Read more...

 
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