Topology and Geometry for Physicists

Klappentext

Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.

Inhalt

Preface 1. Basic Notions of Topology and the Value of Topological Reasoning 2. Differential Geometry: Manifolds and Differential Forms 3. The Fundamental Group 4. The Homology Groups 5. The Higher Homotopy Groups 6. Cohomology and De Rhan Cohomology 7. Fibre Bundles and Further Differential Geometry 8. Morse Theory 9. Defects, Textures, and NHomotopy Theory 10. Yang-Mills Theories: Instantons and Monopoles Further Reading Subject Index