Perverse Sheaves over Real Hyperplane Arrangements II

Let $\mathcal{H}$ be an arrangement of hyperplanes in $\mathbb{R}^n$ and $\operatorname{Perv}(\mathbb{C}Cn,\mathcal{H})$ the category perverse sheaves on $\mathbb{C}^n$ smooth with respect to stratification given by complexified flats $\mathcal{H}$. We give a description $\operatorname{Perv}(\mathbb{C}^n, \mathcal{H})$ terms “matrix diagrams”, i.e., diagrams formed vector spaces $E\_{A,B}$ labeled pairs $(A,B)$ real faces (of all dimensions) or, equivalently, cells $iA+B$ natural cell decomposition $\mathbb{C}$. A matrix diagram is formally similar datum describing constructible (nonperverse) sheaf but direction one-half arrows reversed.