Loop spaces of polyhedral products associated with the polyhedral join product
Algebraic Topology
2026-01-14 v1
Abstract
We give a homotopy equivalence for the loop space of the moment-angle complex associated with a simplicial complex formed by the polyhedral join operation, and give necessary conditions for this loop space to be a finite type product of spheres and loops on spheres.
Keywords
Cite
@article{arxiv.2410.19676,
title = {Loop spaces of polyhedral products associated with the polyhedral join product},
author = {Briony Eldridge},
journal= {arXiv preprint arXiv:2410.19676},
year = {2026}
}