Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields by Gerd Rudolph, Matthias Schmidt (Paperback, 2018)

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Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory. Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented.