Titlebook: Differential Geometry and Mathematical Physics; Part II. Fibre Bundl Gerd Rudolph,Matthias Schmidt Book 2017 Springer Science+Business Medi

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https://doi.org/10.1007/978-3-663-08904-9it space. We start with the classical Faddeev-Popov path integral quantization procedure, address the famous Gribov problem and present Singer’s analysis of this problem. Next, we discuss anomalies for models of gauge fields coupled to fermionic matter in the spirit of Fujikawa, Atiyah, Singer and W

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https://doi.org/10.1007/978-94-024-0959-8Dirac operators; Linear connections; Riemannian geometry; Homotopy theory; Cohomology theory; Whitney sum

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Homotopy Theory of Principal Fibre Bundles. Classification,en base manifold up to vertical isomorphisms in terms of homotopy classes of mappings to the base space of a universal principal bundle. The classification carries over to vector bundles. Finally, we discuss universal connections.

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