After successful completion of the course, students are able to understand and use basic tools from differential geometry and topology as needed for particle physics, general relativity and string theory.

1. Topological spaces and homotopy

2. Manifolds and homology

3. Differentiable aspects of manifolds

4. Vector bundles, connections and Riemannian geometry

Blackboard presentation and homework assignments

First lecture: October 2, 12:15 - 13:45 in EI 9 (Hlawka HS).

By homework

The lecture will follow only partly the notes by M. Kreuzer.    Further literature includes M. Nakahara: Geometry, Topology and Physics, IOP Publishing, Bristol 1990.

Only mathematical knowledge that can be expected in the 5th semester is required.