1999/02/23 by George Svetlichny, Svetlichny, George · 1 citation
Engineering · #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Manufacturing Process and Optimization #Mathematical Physics (math-ph) #Robotic Mechanisms and Dynamics
paper · pdf · doi:10.48550/arxiv.math-ph/9902027
openalex publication_date 1999/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.