Xiangdong Li, Fudan University, China

On the -cohomology of over Complete Kähler Manifolds

Abstract

In this talk, we present a finiteness theorem of the reduced -cohomology of on a class of holomorphic vector bundles over complete Kähler manifolds. Moreover, we establsih some -estimates and existence theorems of and prove some vanishing theorems of the -cohomology of on complete Kähler manifolds with suitable curvature conditions.