| Kommentar |
Broadly,
- vector and principal bundles, relations between them (associated bundles), metrics and connections, possibly very briefly on G-structures
- characteristic classes on vector and principal bundles and a relation(s) between them
- co/homology of manifolds, intersection forms, signature, fundamental class, Poincare and Thom isomorphisms
- correspondences between divisors (codim 1 submfds), line bundles (and their holo/meromorphic sections) and cohomology classes in complex manifolds
- maybe some Hodge thory and sheaves
- Lefschetz theorem on (1,1)-classes
Here is a link to a more detailed list, but it still is work in progress which will be done around 17 Oct.
https://sites.google.com/view/roland-pucek/teaching |
