@article{1eb6d834679a483092bcc99fa79c5134,
title = "On polyhedral product spaces over polyhedral joins",
abstract = " The construction of a simplicial complex given by polyhedral joins (introduced by Anton Ayzenberg), generalizes Bahri, Bendersky, Cohen and Gitler{\textquoteright}s � -construction and simplicial wedge construction. This article gives a cohomological decomposition of a polyhedral product over a polyhedral join. A formula for the Hilbert–Poincar{\'e} series is given, which generalizes Ayzenberg{\textquoteright}s formula for the moment-angle complex. ",
keywords = "cohomology ring, moment-angle complex, simplicial complex, Stanley–Reisner ring, simplicial wedge construction",
author = "Elizabeth Vidaurre",
note = "This website requires Javascript in order to display and function properly. Please enable Javascript in your web browser. Pages: 259 - 280 DOI: https://dx.doi.org/10.4310/HHA.2018.v20.n2.a13 Author Elizabeth Vidaurre (Department of Mathematics, University of Rochester, New York, U.S.A.) 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.",
year = "2018",
month = jun,
doi = "10.4310/HHA.2018.v20.n2.a13",
language = "American English",
volume = "20",
journal = "Homology, Homotopy and Applications",
issn = "1532-0081",
publisher = "International Press",
}