Strong formality of toric and homogeneous compact Kähler manifolds

Abstract

All compact Kähler, or even $\partial \bar{\partial }$-manifolds, are rationally formal. Not all of them are strongly formal. Yet some of them are: For complete smooth complex toric varieties and homogeneous compact Kähler manifolds we show the stronger property that they are both rationally and strongly formal in a compatible way.

23 pages