Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields /
The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks: - Geometry and topology of fibre bundles, - Clifford algebras, spin structures and Dirac operators, - Gauge theory. Written in the style of a mathemati...
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| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2017.
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| Series: | Theoretical and Mathematical Physics.
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| Subjects: | |
| Online Access: | Full text (Wentworth users only) |
Table of Contents:
- Fibre bundles and connections
- Linear connections and Riemannian geometry
- Homotopy theory of principal fibre bundles. Classification
- Cohomology theory of fibre bundles. Characteristic classes
- Clifford algebras, spin structures and Dirac operators
- The Yang-Mills equation
- Matter fields and model building
- The gauge orbit space
- Elements of quantum gauge theory
- A Field restriction and field extension
- B The Conformal Group of the 4-sphere
- C Simple Lie algebras. Root diagrams
- D z -function regularization
- E K-theory and index bundles
- F Determinant line bundles
- G Eilenberg-MacLane spaces
- References. Index.