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Chern Weil Theory
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High Quality Content by WIKIPEDIA articles! 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.

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High Quality Content by WIKIPEDIA articles! 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.