Sheaves on quoric manifolds

Quoric manifolds are quaternionic analogues of quasitoric manifolds introduced by Hopkinson. Given a quoric manifold over a simple polytope, we study the stratification induced by the faces of the polytope. We then show that the equivariant derived category of constructible sheaves with respect to the face stratification is equivalent to the derived category of constructible DG-modules over a DG-algebra defined on the orbit space. Finally, we prove that the associated DG-algebra is formal.