Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Chern–Weil homomorphism is a basic construction in the Chern–Weil theory, relating for a smooth manifold M the curvature of M to the de Rham cohomology groups of M, i.e., geometry to topology. This theory of Shiing-Shen Chern and Andre Weil from the 1940s was an important step in the theory of characteristic classes. It is a generalization of the Chern–Gauss–Bonnet theorem.

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