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# Chern–Weil theory

In mathematics, Chern–Weil theory computes topological invariants of vector bundles and principal bundles in terms of connections and curvature. That is, the theory forms a bridge between the areas of algebraic topology and differential geometry. It was developed in the late 1940s by Shiing-Shen Chern and André Weil, in the wake of proofs of the generalized Gauss–Bonnet theorem.

See Chern–Weil homomorphism for more detail.

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

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