Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields - Softcover

Rudolph, Gerd; Schmidt, Matthias

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9789402409604: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields

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Synopsis

Fibre bundles and connections.- Linear connections and Riemannian geometry.- Homotopy theory of principal fibre bundles. Classification.- Cohomology theory of fibre bundles. Characteristic classes.- Clifford algebras, spin structures and Dirac operators.- The Yang-Mills equation.- Matter fields and model building.- The gauge orbit space.- Elements of quantum gauge theory.- A Field restriction and field extension.- B The Conformal Group of the 4-sphere.- C Simple Lie algebras. Root diagrams.- D z -function regularization.- E K-theory and index bundles.- F Determinant line bundles.- G Eilenberg-MacLane spaces.- References. Index.

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Other Popular Editions of the Same Title

9789402409581: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics)

Featured Edition

ISBN 10:  9402409580 ISBN 13:  9789402409581
Publisher: Springer, 2017
Hardcover