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

2013/11/18 by Bahri, A., Bendersky, M., Cohen, F. R. +1
#13F55 #14M25 #15A36 #52B11 #53D05 #55U10 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1311.4256

Abstract

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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