Topology and Geometry for Physicists
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Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize for this. We originally intended to discuss general relativity. However, both the need to keep the size of the book within the reasonable limits and the fact that accounts of the topology and geometry of relativity are already available, for example, in The Large Scale Structure of Space-Time by S. Hawking and G. Ellis, made us reluctantly decide to omit this topic.
Readership
Advanced undergraduate and graduate students studying physics.
Table of Contents
- Preface. Basic Notions of Topology and the Value of Topological Reasoning. Differential Geometry. Manifolds and Differential Forms. The Fundamental Group. The Homology Groups. The Higher Homotopy Groups. Cohomology and De Rham Cohomology. Fibre Bundles and Further Differential Geometry. Morse Theory. Defects, Textures, and Homotopy Theory. Yang-Mills Theories. Instantons and Monopoles. Subject Index.
Product details
- No. of pages: 311
- Language: English
- Copyright: © Academic Press 1988
- Published: January 4, 1988
- Imprint: Academic Press
- eBook ISBN: 9780080570853
About the Authors
Charles Nash
Affiliations and Expertise
St. Patrick's College, Maynooth, Ireland
Siddhartha Sen
Affiliations and Expertise
Trinity College, Dublin, Ireland
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