Differential Geometry and Mathematical Physics

1. Fibre Bundles and Connections
Gerd Rudolph, Matthias Schmidt

2. Linear Connections and Riemannian Geometry
Gerd Rudolph, Matthias Schmidt

3. Homotopy Theory of Principal Fibre Bundles. Classification
Gerd Rudolph, Matthias Schmidt

4. Cohomology Theory of Fibre Bundles. Characteristic Classes
Gerd Rudolph, Matthias Schmidt

5. Clifford Algebras, Spin Structures and Dirac Operators
Gerd Rudolph, Matthias Schmidt

6. The Yang–Mills Equation
Gerd Rudolph, Matthias Schmidt

7. Matter Fields and Model Building
Gerd Rudolph, Matthias Schmidt

8. The Gauge Orbit Space
Gerd Rudolph, Matthias Schmidt

9. Elements of Quantum Gauge Theory
Gerd Rudolph, Matthias Schmidt

Keywords: Physics, Mathematical Methods in Physics, Differential Geometry, Mathematical Physics, Algebraic Geometry, Algebraic Topology, Elementary Particles, Quantum Field Theory