Curvature and Characteristic Classes

Johan L. Dupont (auth.)9780387086637, 0-387-08663-3

Table of contents :
Differential forms and cohomology….Pages 1-19
Multiplicativity. The simplicial de rham complex….Pages 20-37
Connections in principal bundles….Pages 38-60
The chern-weil homomorphism….Pages 61-70
Topological bundles and classifying spaces….Pages 71-88
Simplicial manifolds. The chern-weil homomorphism for BG….Pages 89-96
Characteristic classes for some classical groups….Pages 97-113
The chern-weil homomorphism for compact groups….Pages 114-143
Applications to flat bundles….Pages 144-164
Errata….Pages 165-165