Bott–Chern cohomology

In complex geometry in mathematics, Bott–Chern 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 Bott–Chern cohomology canonically maps into both. A similiar cohomology theory, into which both map and which hence also serves as a bridge is Aeppli cohomology. Bott–Chern cohomology is named after Raoul Bott and Shiing-Chen Chern, who introduced it in 1965.