English

$\frac{n}{3}$-Neighbourly Moment-Angle Complexes and their Unstable Splittings

Algebraic Topology 2016-02-25 v2 Commutative Algebra

Abstract

Given an n3\frac{n}{3}-neighbourly simplicial complex KK on vertex set [n][n], we show that the moment-angle complex ZK\mathcal{Z}_K is a coco-HH-space if and only if KK satisfies a homotopy analogue of the Golod property.

Keywords

Cite

@article{arxiv.1510.05283,
  title  = {$\frac{n}{3}$-Neighbourly Moment-Angle Complexes and their Unstable Splittings},
  author = {Piotr Beben and Jelena Grbić},
  journal= {arXiv preprint arXiv:1510.05283},
  year   = {2016}
}