group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
(Absolute) Hodge cohomology is a variant of de Rham cohomology for complex varieties induced by a canonical Hodge filtration on differential forms.
The definition of absolute Hodge cohomology originates around
see also the references at Hodge theory for background.
Application to Beilinson regulators appears in
and then with application to differential algebraic K-theory and in terms of differential forms with logarithmic singularities is in
Last revised on June 8, 2023 at 18:12:56. See the history of this page for a list of all contributions to it.