geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
The complex geometry-analog of the de Rham theorem is the Dolbeault theorem:
For $X$ a complex manifold then its Dolbeault cohomology in bi-degree $(p,q)$ is naturally isomorphic to the abelian sheaf cohomology in degree $q$ of the abelian sheaf $\Omega^p \coloneqq \Omega^{p,0}$ of holomorphic p-forms
Review includes
Last revised on July 1, 2016 at 07:28:56. See the history of this page for a list of all contributions to it.