Characteristic classes, one of the most abstract and most difficult subjects to teach, are treated in this book at a level that is fairly understandable. The author endeavors to explain how characteristic classes "do their jobs" in the areas in which they are employed, and, even though he does not g
Loop spaces, characteristic classes, and geometric quantization
✍ Scribed by Jean-Luc Brylinski
- Publisher
- Birkhäuser
- Year
- 1993
- Tongue
- English
- Leaves
- 161
- Series
- Progress in mathematics 107
- Edition
- Corrected
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
Develops a Chern-Weil theory of characteristic classes of gerbes, fiber bundles whose fibers are groupoids, which arise naturally in the geometric aspects of mathematics and physics. Includes a self-contained introduction to the theory of sheaves and their cohomology, line bundles, and geometric prequantization. Written for topologists, geometers, Lie theorists, and mathematical physicists at a graduate or professional level.
✦ Subjects
Математика;Топология;Алгебраическая топология;
📜 SIMILAR VOLUMES
<P>This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics.</P> <P>Various developments in mathematical physics (e.g., in knot theory, gauge theory, and topological quantum field theory) have le
<P>This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics.</P> <P>Various developments in mathematical physics (e.g., in knot theory, gauge theory, and topological quantum field theory) have led