In the year of 2023/24, I am the teaching assistant for the module MA4J7 Cohomology and Poincaré Duality.

Class Notes

• Week 4Link opens in a new window: Moore spaces and unnatural splitting of universal coefficient theorem.
• Week 6Link opens in a new window: Ext groups computations.
• Week 8Link opens in a new window: Connected sum.

Exercise Sheet Solutions

• Sheet 1 SolutionsLink opens in a new window
• Sheet 2 SolutionsLink opens in a new window
• Sheet 3 SolutionsLink opens in a new window
• Sheet 4 SolutionsLink opens in a new window

Useful Links

• Course webpage for MA4J7Link opens in a new window (2023/24)
• Saul's old webpage for MA4J7Link opens in a new window (2021/22)
• Notes for MA3H6 Algebraic TopologyLink opens in a new window (2023/24) — good reference for the prerequisite homology theory
• Algebraic Topology notesLink opens in a new window from Oxford C3.1 (covers homology & cohomology)

• Cup product and intersectionsLink opens in a new window: cup product of cocycles is dual to the intersection product of cycles via Poincaré duality. This geometric perspective is not treated properly in Hatcher.

Hatcher's Algebraic TopologyLink opens in a new window