Textbook:
Lectures (approx) | Sections (from Hatcher's book) |
Lecture 1&2 | Informal definition of cohomology, examples |
Lectures 3&4 | Hom( ,G), exactness, Ext |
Lecture 5 | Universal Coefficient Theorem |
Week 3 | Quiz I |
| Properties of cohomology; homotopy invariance, sequences of pairs and triples |
Week 4-5 | § 3.2 Cup products, properties, examples
Quiz II |
Week 6-7 | § 3.3 Homological manifolds, orientations, cap products Poincare duality Quiz III |
Weeks 8-9 | Student presentations Quiz IV |
Week 10 | § 3.3 (continued) Other forms of duality |