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arxiv: 1311.4256 · v1 · pith:GKIYVDFVnew · submitted 2013-11-18 · 🧮 math.AT · math.AG· math.CO· math.SG

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

classification 🧮 math.AT math.AGmath.COmath.SG
keywords constructionapplicationsdavis-januszkiewiczgeneralizationmanifoldssimplicialtoricallow
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The fundamental Davis-Januszkiewicz construction of toric manifolds is reinterpreted in order to allow for generalization. Applications involve the simplicial wedge $J$-construction and Ayzenberg's recent identities arising from composed simplicial complexes.

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