Get Differential Geometry and Mathematical Physics: Part II. PDF

By Gerd Rudolph,Matthias Schmidt

The publication is dedicated to the research of the geometrical and topological constitution of gauge theories. It involves the next 3 construction blocks:
- Geometry and topology of fibre bundles,
- Clifford algebras, spin constructions and Dirac operators,
- Gauge theory.
Written within the form of a mathematical textbook, it combines a accomplished presentation of the mathematical foundations with a dialogue of various complex subject matters in gauge theory.
The first development block contains a variety of particular subject matters, like invariant connections, common connections, H-structures and the Postnikov approximation of classifying spaces.
Given the good significance of Dirac operators in gauge thought, a whole evidence of the Atiyah-Singer Index Theorem is gifted. The gauge concept half includes the research of Yang-Mills equations (including the idea of instantons and the classical balance analysis), the dialogue of varied versions with topic fields (including magnetic monopoles, the Seiberg-Witten version and dimensional relief) and the research of the constitution of the gauge orbit area. the ultimate bankruptcy is dedicated to components of quantum gauge concept together with the dialogue of the Gribov challenge, anomalies and the implementation of the non-generic gauge orbit strata within the framework of Hamiltonian lattice gauge theory.
The publication is addressed either to physicists and mathematicians. it's meant to be obtainable to scholars ranging from a graduate level.

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Read or Download Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics) PDF

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

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