(n)/(3)-Neighbourly Moment-Angle Complexes and their Unstable Splittings

2015/10/18 by Piotr Beben, Beben, Piotr, Jelena Grbić +1
Computer Science · Mathematics · #13F55 #55P15 #55U10 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1510.05283

openalex publication_date 2015/10/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Given an (n)/(3)-neighbourly simplicial complex K on vertex set [n], we show that the moment-angle complex Z_K is a co-H-space if and only if K satisfies a homotopy analogue of the Golod property.

Citations

• Topology of polyhedral products and the Golod property of Stanley-Reisner rings

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