A generalization of the Davis-Januszkiewicz construction and applications to toric manifolds and iterated polyhedral products
A. Bahri, M. Bendersky, F.R. Cohen, S. Gitler
TL;DR
This paper generalizes the Davis-Januszkiewicz construction for toric manifolds, enabling new applications involving simplicial wedge constructions and identities from composed simplicial complexes.
Contribution
It introduces a broader framework for the Davis-Januszkiewicz construction, facilitating advanced applications in toric topology and polyhedral products.
Findings
Generalized Davis-Januszkiewicz construction
Applications to simplicial wedge J-construction
Derived identities from composed simplicial complexes
Abstract
The fundamental Davis-Januszkiewicz construction of toric manifolds is reinterpreted in order to allow for generalization. Applications involve the simplicial wedge -construction and Ayzenberg's recent identities arising from composed simplicial complexes.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Commutative Algebra and Its Applications · Topological and Geometric Data Analysis