Polyhedral products associated to pseudomanifolds
Algebraic Topology
2025-06-04 v2
Abstract
We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of and decompose as a product of spheres and loops on spheres.
Cite
@article{arxiv.2412.04116,
title = {Polyhedral products associated to pseudomanifolds},
author = {Lewis Stanton and Stephen Theriault},
journal= {arXiv preprint arXiv:2412.04116},
year = {2025}
}
Comments
19 pages, generalised some results thanks to referee comments, version accepted by International Mathematics Research Notices