Loop spaces, characteristic classes and geometric quantization
著者
書誌事項
Loop spaces, characteristic classes and geometric quantization
（Modern Birkhäuser classics）
Birkhäuser, c2008
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注記
"Reprint of the 1993 edition"
"Originally published as volume 107 in the series Progress in matheamtics" -- T.p. verso
Includes bibliographical references (p. [278]-285) and index
内容説明・目次
内容説明
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, Kahler 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.
目次
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.
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