Bott-Chern cohomology of a compact Kähler manifold
= Bott-Chern cohomology of a compact Kähler manifold
{c}
For a compact <Kähler manifold>, the natural map $H_{BC}^{p,q}\to H_{\bar\partial}^{p,q}$ is an isomorphism. The <Kähler Laplacian identity> makes the harmonic representative of every <Dolbeault cohomology> class $d$-closed, giving surjectivity, and the <ddbar lemma> gives injectivity.