Lefschetz operator of a Kähler manifold
= Lefschetz operator of a Kähler manifold
{c}
{title2=$L$}
The Lefschetz operator of a <Kähler manifold> is exterior multiplication by its Kähler form,
$$
L\alpha=\omega\wedge\alpha.
$$
Its formal adjoint is denoted by $\Lambda=L^*$ and lowers the bidegree of a <differential form> by $(1,1)$.
This wedge operator participates in the <Kähler identities>; the theorem on integral $(1,1)$ classes is a different result.