Prof. Michael Brandenbursky

Course topics

  1. Cohomology: definitions, Universal coefficient theorem, Orientation, Poincare duality, cap and cup products, cohomology ring, Kunneth formula
  2. Review of (Smooth manifolds, differential forms, orientability, Stokes theorem), degree of the map, Sard theorem, De-Rham cohomology.
  3. Isomorphism between De-Rham cohomology and singular cohomology.
  4. (If time permits) additional topics according to the instructor preferences

University course catalogue: 201.2.0471