Slides:

- Lecture 1. Manifolds (September 21).
- Lecture 2. Partition of unity (October 5).
- Lecture 3. Derivations and vector fields (October 12).
- Lecture 4. Derivations and sheaves (October 19).
- Lecture 5. Locally trivial fibrations (October 26).
- Lecture 6. Vector bundles as locally trivial fibrations (November 9).
- Lecture 7. Operations on vector bundles (November 16).
- Lecture 8. Grassmann algebra (November 30).
- Lecture 9. De Rham differential (December 7).
- Lecture 10. Poincare lemma (December 14).

- Remedial topology
- Manifolds and sheaves
- Derivations
- Sheaves and germs
- Vector bundles and sheaves
- Smooth fibrations
- Vector bundles
- Grassmann algebra
- De Rham differential

- Test assignment 1 (28.09.2015)
- Exam problems.

GEOMETRY AT THE ULB differential geometry at the Université libre de Bruxelles |