Chern–Weil homomorphism
id:
chern-weil-homomorphism-232-3583130
title:
Chern–Weil homomorphism
text:
In mathematics, the Chern–Weil homomorphism is a basic construction in Chern–Weil theory that computes topological invariants of vector bundles and principal bundles on a smooth manifold M in terms of connections and curvature representing classes in the de Rham cohomology rings of M. 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
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Chern%E2%80%93Weil_homomorphism
date created:
date modified:
2023-12-02T19:00:05Z
main entity:
{"identifier":"Q3087844","url":"https://www.wikidata.org/entity/Q3087844"}
image:
fields total:
13
integrity:
13