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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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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Σειρά: | Universitext,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.