Golodness and polyhedral products for two-dimensional simplicial complexes

DOI10.1515/forum-2017-0130zbMath1405.13042arXiv1506.08970OpenAlexW2963480830MaRDI QIDQ1743456

Kouyemon Iriye, Daisuke Kishimoto

Publication date: 13 April 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08970

zbMATH Keywords

Stanley-Reisner ringmoment-angle complexpolyhedral productneighborlinessfat wedge filtrationgolodness

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items

LS-category of moment-angle manifolds and higher order Massey products ⋮ Whitehead products in moment-angle complexes ⋮ Jacobi identity in polyhedral products ⋮ A non-Golod ring with a trivial product on its Koszul homology ⋮ Golod and tight 3-manifolds

Cites Work

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• Convex polytopes, Coxeter orbifolds and torus actions
• The Golod property for Stanley-Reisner rings in varying characteristic
• Moment-angle complexes, monomial ideals and Massey products
• Fat-wedge filtration and decomposition of polyhedral products
• A non-Golod ring with a trivial product on its Koszul homology
• On the Golod property of Stanley-Reisner rings