In this program
- Lie groups and Lie algebras
- Left-invariant vector fields
- Exponential map
- Principal
- Vector bundles (introduction)
- Connections and parallel transport
- Characteristic classes: Chern classes (introduction)
Lie groups and fiber bundles
Characteristic classes: Chern classes (introduction)
Differential geometry · Theoretical / proof-based
Topic
Characteristic classes: Chern classes (introduction)
Graduate Differential Geometry — scope drawn from open differential geometry notes and typical US graduate differential geometry syllabi.