Chern–Weil homomorphism
= Chern–Weil homomorphism
{wiki=Chern–Weil_homomorphism}
The Chern–Weil homomorphism is a fundamental concept in differential geometry and algebraic topology that establishes a connection between characteristic classes of vector bundles and differential forms on manifolds. It provides a way to compute characteristic classes, which are topological invariants that classify vector bundles over a manifold, by using the curvature of connections on those bundles.