Loop spaces of polyhedral products associated with the polyhedral join product

2024/10/25 by Briony Eldridge, Eldridge, Briony · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #FOS: Mathematics #Mathematics and Applications #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2410.19676

openalex publication_date 2024/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Anick's conjecture for polyhedral products

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• Polyhedral products associated to pseudomanifolds
• Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes
• Anick's conjecture for polyhedral products
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