Principal Bundles The Classical Case
This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, t...
| Autor principal: | |
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing
2015.
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| Colección: | Universitext.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32920829*spi |
Tabla de Contenidos:
- Introduction
- Basics of Manifolds
- Vector Bundles
- Vectors and Covectors
- Differential Forms
- Lie Derivatives
- Lie Groups
- Frobenius Theorem
- Principle Bundles
- Connections on Principle Bundles
- Curvature of a Connection
- Classical Electromagnetism
- Yang-Mills Theory
- Gauge Theory
- The Dirac Monopole
- Instantons
- What Next?
- Discussion of the Exercises.
