On the de Rham Complex of Mixed Twistor 𝒟-Modules

Abstract

Given a complex manifold S, we introduce for each complex manifold X a t-structure on the bounded derived category of -constructible complexes of -modules on X×S. We prove that the de Rham complex of a holonomic -module which is -flat as well as its dual object is perverse relatively to this t-structure. This result applies to mixed twistor -modules.