チャーン・サイモンズ理論はいつ提唱された？
In the 1940s S. S. Chern and A. Weil studied the global curvature properties of smooth manifolds "M" as de Rham cohomology (Chern–Weil theory), which is an important step in the theory of characteristic classes in differential geometry. Given a flat "G"-principal bundle "P" on "M" there exists a unique homomorphism, called the Chern–Weil homomorphism, from the algebra of "G"-adjoint invariant polynomials on "g" (Lie algebra of "G") to the cohomology formula_1. If the invariant polynomial is homogeneous one can write down concretely any "k"-form of the closed connection "ω" as some 2"k"-form of the associated curvature form Ω of "ω".
1940s