page under construction

This course will look at algebraic manifolds from an algebraic topology perspective. It will be loosely based on Hirzebruch’s 1956 text Topological methods in algebraic geometry, although we won’t assume any background knowledge of algebraic geometry as a prerequisite. Topics we will cover include:

• sheaves on algebraic manifolds
• de Rham theorem
• fiber bundles and topological vector bundles
• characteristic classes (Chern, Stiefel-Whitney, Pontryagin)
• cobordism
• the Todd genus
• some basic Hodge theory
• Riemann-Roch for algebraic manifolds

Canvas link