NCG Course

Differential Geometry

Ludwik Dabrowski


- Bundles and connections:
fiber bundles, vector bundles, principal bundles, sections, connection, covariant derivative, curvature, characteristic classes

- Riemannian geometry:
Levi-Civita connection, geodesics, curvature, Gauss-Bonnet theorem

- Spinor geometry:
Clifford algebras, spinors, spin structure on manifolds, Dirac operator.

(It provides the preparatory material for the course `Introduction to Noncommutative Geometry' in Spring 2007)

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