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...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Universitext
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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