← Theoretical / proof-based

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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

Left-invariant vector fields

Differential geometry · Theoretical / proof-based

Topic

Left-invariant vector fields

Practice by unit: Lie groups and fiber bundles

Graduate Differential Geometry — scope drawn from open differential geometry notes and typical US graduate differential geometry syllabi.

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