English

Wedge decomposition of polyhedral products

Algebraic Topology 2013-06-27 v2 Combinatorics

Abstract

We prove that certain polyhedral products, including the moment-angle complexes, for the Alexander duals of shellable and sequentially Cohen-Macaulay complexes decompose into wedges of explicitly given suspension spaces, which implies the properties of the Stanley-Reisner rings, known as Golod, of theses complexes.

Keywords

Cite

@article{arxiv.1304.4722,
  title  = {Wedge decomposition of polyhedral products},
  author = {Kouyemon Iriye and Daisuke Kishimoto},
  journal= {arXiv preprint arXiv:1304.4722},
  year   = {2013}
}

Comments

This paper has been withdrawn by the authors since the revised and expanded version with a new title "Topology of polyhedral products and the Golod property of Stanley-Reisner rings" has been submitted

R2 v1 2026-06-22T00:01:22.972Z