* Bundles, connections, covariant derivatives, curvature
* Characteristic classes
* Dirac operators, Laplacians
* Sobolev spaces of sections
* Harmonic forms and Hodge decomposition
* Fredholm theory, index theorems (without proof)
* Complex bundles over Riemann surfaces, Riemann Roch theorem
* Pseudo-holomorphic curves and symplectic geometry
Possible topics if time permits: Anti-selfdual connections and Donaldson theory, Seiberg-Witten equations
- Kursverantwortliche/r: Klaus Mohnke
Semester: WiSe 2020/21