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arXiv · 1709.07520

On Polyhedral Product Spaces over Polyhedral Joins

Elizabeth Vidaurre
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Abstract

The construction of a simplicial complex given by polyhedral joins (introduced by Anton Ayzenberg), generalizes Bahri, Bendersky, Cohen and Gitler's $J$-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.

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BibTeXRIS

Elizabeth Vidaurre. 2017-09-21. On Polyhedral Product Spaces over Polyhedral Joins. https://doi.org/10.4310/hha.2018.v20.n2.a13

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