Gauge theory. An introduction into differential geometry on fibre bundles

DOI10.1007/978-3-642-38539-1zbMath1297.53001OpenAlexW4237910243MaRDI QIDQ2438623

Helga Baum

Publication date: 5 March 2014

Published in: Springer-Lehrbuch Masterclass (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-38539-1

zbMATH Keywords

cohomologyholonomydifferential geometryfield equationsfibre bundleGauge field theoryYang-Mills equations, characteristic classes

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Fiber bundles in algebraic topology (55R10)

Related Items (5)

Notes on Chern–Simons perturbation theory ⋮ A geometric view on local Lorentz transformations in teleparallel gravity ⋮ On the space of initial values strictly satisfying the dominant energy condition ⋮ The Dirac operator under collapse to a smooth limit space ⋮ Super fiber bundles, connection forms, and parallel transport

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