A generalization of the davis-januszkiewicz construction and applications to toric manifolds and iterated polyhedral products

Abstract

The fundamental Davis–Januszkiewicz construction of toric manifolds is reinterpreted in order to allow for an explanation, within their formalism, of the authors’ previous construction of infinite families of toric manifolds. The latter uses the simplicial wedge J-construction. Consequences of a recent generalization of the J-construction by Ayzenberg (Trans. Moscow Math. Soc. 74, 175–202, 2013).