Loop Spaces, Characteristic Classes and Geometric Quantization
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 mathemati...
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| Format: | eBook |
| Language: | English |
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Boston, MA
Birkhäuser
1993, 1993
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| Edition: | 1st ed. 1993 |
| Series: | Modern Birkhäuser Classics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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