Configuration spaces and polyhedral products

DOI10.1016/j.aim.2017.05.001zbMath1369.55006arXiv1409.4462OpenAlexW2963208475MaRDI QIDQ2357475

Piotr Beben, Jelena Grbic

Publication date: 13 June 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4462

zbMATH Keywords

Stanley-Reisner ringconfiguration spacemoment-angle complexpolyhedral productscanning mapGolod ringtoric topologyco-\(H\)-space

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

LS-category of moment-angle manifolds and higher order Massey products, The dual polyhedral product, cocategory and nilpotence, Orbit configuration spaces of small covers and quasi-toric manifolds, The cohomology algebra of polyhedral product spaces, \(A_\infty\)-resolutions and the Golod property for monomial rings, \(\frac{n}{3}\)-neighbourly moment-angle complexes and their unstable splittings, The complement of polyhedral product spaces and the dual simplicial complexes, A homotopy theoretical generalisation of the Bestvina-Brady construction

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