Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory. Covers group actions, fiber bundles, principal bundles, connections, gauge transformations, parallel transport, curvature, covariant derivatives, pseudo-riemannian manifolds, lagrangians, clifford algebras, spin bundles, and the Dirac operator. Requires an elementary knowledge of groups, manifolds, lie groups and algebras, and mutlilinear algebra.
- Pub Date:
- February 1999
- Mathematical Physics;
- High Energy Physics - Theory;
- Mathematics - Differential Geometry
- LaTeX. 97 pages. Uses macro package "diagrams.tex". Some minor errors and typos corrected