On Polyhedral Product Spaces over Polyhedral Joins
Algebraic Topology
2019-07-18 v1
Abstract
The construction of a simplicial complex given by polyhedral joins (introduced by Anton Ayzenberg), generalizes Bahri, Bendersky, Cohen and Gitler's -construction and simplicial wedge construction. This article gives a cohomological decomposition of a polyhedral product over a polyhedral join for certain families of pairs of simplicial complexes. A formula for the Hilbert-Poincar\'{e} series is given, which generalizes Ayzenberg's formula for the moment-angle complex.
Cite
@article{arxiv.1709.07520,
title = {On Polyhedral Product Spaces over Polyhedral Joins},
author = {Elizabeth Vidaurre},
journal= {arXiv preprint arXiv:1709.07520},
year = {2019}
}