Differential Geometric Methods in Mathematical Physics

Proceedings of the International Conference Held at the Technical University of Clausthal, Germany, July 1978

By: H. D. Doebner (Editor)

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Paperback | 1 April 1981

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344 Pages

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On a geometric quantization scheme generalizing those of Kostant-Souriau and Czyz.- Further applications of geometric quantization.- General vector field representations of local Heisenberg systems.- Aspects of relativistic quantum mechanics on phase space.- On the confinement of magnetic poles.- SU(3) and SU(4) as spectrum-generating groups.- The phase space for the Yang-Mills equations.- Instantons in nonlinear ?-models, gauge theories and general relativity.- Gauge-theoretical foundation of color geometrodynamics.- Non-associative algebras and exceptional gauge groups.- Atiyah-Singer index theorem and quantum field theory.- Topological concepts in phase transition theory.- Life without T2.- Affine model of internal degrees of freedom in a non-euclidean space.- Jet bundles and weyl geometry.- Line fields and Lorentz manifolds.- The manifold of embeddings of a closed manifold.- The manifold of embeddings of a non-compact manifold.

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