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Loop spaces, characteristic classes, and geometric quantization

Author: J -L Brylinski
Publisher: Boston : Birkhäuser, ©1993.
Series: Progress in mathematics (Boston, Mass.), v. 107.
Edition/Format:   Print book : 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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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J -L Brylinski
ISBN: 0817636447 9780817636449 3764336447 9783764336448
OCLC Number: 26761464
Description: xvi, 300 pages : illustrations ; 25 cm.
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: Progress in mathematics (Boston, Mass.), v. 107.
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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