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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.
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.