Loop Spaces, Characteristic Classes and Geomorphic Quantization
Language: English
Published by Birkhäuser Verlag, Boston, MA, 1993
- First Edition
- Hardcover
- Used
Seller: Black Cat Hill Books, Oregon City, OR, U.S.A.Black Cat Hill Books
AbeBooks seller since September 17, 2012
Condition: Used - Very good
£ 50.51
Quantity: 1 available
Add to basketItem description from seller
Very Good: shows mild shelving wear to the lower extremities and just a tick of wear to the upper corner tips; coffee-stains at the tip edge of the text panel (these do not penetrate into the text pages) ; a superficial scratch at the top of the front hinge; the binding leans while remaining secure; the text pages are bright and clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome copy, structurally sound and tightly bound, showing mild wear and the noted imperfections. NOT a Remainder or Book-Club, or Ex-Library. Large 8vo. (9.5 x 6.35 x 0.75 inches) . Language: English. Weight: 26.5 ounces. First Edition (1993) , unstated. First Printing indicated by a complete numerical sequence. Green laminate boards with white titles and designs at the front panel and back-strip. Hardback: Printed Laminate over Boards. 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. ; Progress in Mathematics; Vol. 107; Large 8vo 9" - 10" tall; xvi, 300 pages.…
Seller Inventory # 59440
- Title
- Loop Spaces, Characteristic Classes and Geomorphic Quantization
- Author
- Jean-Luc Brylinski
- Publisher
- Birkhäuser Verlag, Boston, MA
- Publication year
- 1993
- Condition
- Very Good
- Dust jacket
- No Dust Jacket As Issued
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0817636447
- ISBN 13
- 9780817636449
- Edition
- First Edition; First Printing.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics.
Various developments in mathematical physics (e.g., in knot theory, gauge theory, and topological quantum field theory) have led mathematicians and physicists to search for new geometric structures on manifolds and to seek a synthesis of ideas from geometry, topology and category theory. In this spirit, this book develops the differential geometry associated to the topology and obstruction theory of certain fiber bundles (more precisely, associated to grebes). The theory is a 3-dimensional analog of the familiar Kostant--Weil theory of line bundles. In particular the curvature now becomes a 3-form.
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, Cheeger--Chern--Simons secondary characteristics classes, and group cohomology. Finally, the last chapter deals with the Dirac monopole and Dirac s quantization of the electrical charge.
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.
"About the title" may belong to another edition of this title.
Black Cat Hill Books
Oregon City, OR, U.S.A.
AbeBooks seller since September 17, 2012
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