A generalization of the Davis-Januszkiewicz construction and applications to toric manifolds and iterated polyhedral products

preprint2013arXivOpen access

Abstract

The fundamental Davis-Januszkiewicz construction of toric manifolds is reinterpreted in order to allow for generalization. Applications involve the simplicial wedge JJ-construction and Ayzenberg's recent identities arising from composed simplicial complexes.

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