Higher-Page Bott-Chern and Aeppli Cohomologies and Applications

Dan Popovici, Jonas Stelzig, Luis Ugarte

For every positive integer $r$, we introduce two new cohomologies, that we call $E_r$-Bott-Chern and $E_r$-Aeppli, on compact complex manifolds. When $r=1$, they coincide with the…