Sheaf of differential forms of type (p, q)
= Sheaf of differential forms of type (p, q)
{title2=$\mathcal A^{p,q}$}
On a <complex manifold>, this <sheaf> consists of smooth <differential forms of type (p, q)>. The <type decomposition of the complexified tangent bundle> gives $\mathcal A^k=\bigoplus_{p+q=k}\mathcal A^{p,q}$.