Whitehead products in moment-angle complexes

DOI10.2969/jmsj/82708270zbMath1460.55015arXiv1807.00087OpenAlexW3013960162MaRDI QIDQ826471

Kouyemon Iriye, Daisuke Kishimoto

Publication date: 4 January 2021

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00087

zbMATH Keywords

shellable complexmoment-angle complexpolyhedral productDavis-Januszkiewicz spaceWhitehead productfillable complex

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Whitehead products and generalizations (55Q15) Toric topology (57S12)

Related Items (2)

Jacobi identity in polyhedral products ⋮ Golod and tight 3-manifolds

Cites Work

• \(p\)-local stable splitting of quasitoric manifolds
• Convex polytopes, Coxeter orbifolds and torus actions
• Moment-angle complexes, monomial ideals and Massey products
• Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions
• Golodness and polyhedral products for two-dimensional simplicial complexes
• Moment-angle complexes of pairs \((D^n,S^{n-1})\) and simplicial complexes with vertex-decomposable duals
• A union theorem for cofibrations
• Fat-wedge filtration and decomposition of polyhedral products
• Iterated higher Whitehead products in topology of moment-angle complexes
• The homotopy type of the polyhedral product for shifted complexes
• Decompositions of polyhedral products for shifted complexes
• Higher order Whitehead products
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Homotopy theory in toric topology
• Shellable nonpure complexes and posets. II

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