De Rham Cohomology

In mathematics, de Rham cohomology (after Georges de Rham) is a tool belonging both to algebraic topology and to differential topology, capable of expressing basic topological information about smooth manifolds in a form particularly adapted to computation and the concrete representation of cohomology classes. It is a cohomology theory based on the existence of differential forms with prescribed properties.

Read more about De Rham Cohomology:  Definition, De Rham Cohomology Computed, De Rham's Theorem, Sheaf-theoretic De Rham Isomorphism, Related Ideas