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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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Edición: | 1st ed. 2015. |
Colección: | Universitext,
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Temas: | |
Acceso en línea: | Texto Completo |
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.