Golodness and polyhedral products of simplicial complexes with minimal taylor resolutions

Kouyemon Iriye, Daisuke Kishimoto

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Let K be a simplicial complex such that the Taylor resolution for its Stanley-Reisner ring is minimal. We prove that the following conditions are equivalent: (1) K is Golod; (2) any two minimal non-faces of K are not disjoint; (3) the moment-angle complex for K is homotopy equivalent to a wedge of spheres; (4) the decomposition of the suspension of the polyhedral product ZK(CX;X) due to Bahri, Bendersky, Cohen and Gitler desuspends.

Original languageEnglish
Pages (from-to)69-78
Number of pages10
JournalHomology, Homotopy and Applications
Volume20
Issue number1
DOIs
Publication statusPublished - 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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