Primitive cohomology of degree 2 on compact symplectic manifolds

Qiang Tan, Hongyu Wang, Jiuru Zhou

In this paper, we define the generalized Lejmi's $P_J$ operator on a compact almost Kähler $2n$-manifold. We get that $J$ is $C^{\infty }$-pure and full if $\dim \ker P_J=b^2-1$. Addit…