Aeppli cohomology

In complex geometry in mathematics, Aeppli cohomology is a cohomology theory for complex manifolds. It serves as a bridge between de Rham cohomology, which is defined for real manifolds which in particular underlie complex manifolds, and Dobeault cohomology, which is its analogue for complex manifolds. A direct comparison between these cohomology theories through canonical maps is not possible, but both canonically map into Aeppli cohomology. A similar cohomology theory, which maps into both and which hence also serves as a bridge is Bott–Chern cohomology. Aeppli cohomology is named after Alfred Aeppli, who introduced it in 1964.