2021/10/11 by Matthijs Vákár, Vákár, Matthijs
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2110.06334
openalex publication_date 2021/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This set of lecture notes first gives an introduction to the geometry of principal bundles. Next, it demonstrates how they can be used to formalize the concept of gauge theories arising in physics. A basic familiarity with the differential geometry of manifolds and the classical field theories of general relativity and electromagnetism is assumed.