Adjoint Lefschetz operator
= Adjoint Lefschetz operator
{title2=$\Lambda=L^*$}
The adjoint of $L=\omega\wedge-$ lowers real degree by two and bidegree by $(1,1)$. On a compact <Kähler manifold> it acts on cohomology through <harmonic differential forms>, because it commutes with the <Hodge Laplacian>. It does not generally preserve all closed forms.