Curvature and Characteristic Classes

Inhaltsverzeichnis

• Differential forms and cohomology.
• Multiplicativity. The simplicial de rham complex.
• Connections in principal bundles.
• The chern-weil homomorphism.
• Topological bundles and classifying spaces.
• Simplicial manifolds. The chern-weil homomorphism for BG.
• Characteristic classes for some classical groups.
• The chern-weil homomorphism for compact groups.
• Applications to flat bundles.
• Errata.