Homotopy decomposition of a suspended real toric space

DOI10.1007/s40590-016-0090-1zbMath1372.55009arXiv1503.07788OpenAlexW3101753924MaRDI QIDQ2398328

Shizuo Kaji, Stephen D. Theriault, Suyoung Choi

Publication date: 15 August 2017

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07788

zbMATH Keywords

characteristic functionmoment-angle complexpolyhedral producthomotopy decompositionreal toric manifoldreal toric space

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Finite transformation groups (57S17) Simplicial sets and complexes in algebraic topology (55U10) Suspensions (55P40)

Related Items (7)

Geometric representations of finite groups on real toric spaces ⋮ The cohomology rings of real toric spaces and smooth real toric varieties ⋮ The Betti numbers of real toric varieties associated to Weyl chambers of type \(B\) ⋮ On the cohomology and their torsion of real toric objects ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fundamental groups of real toric spaces over simple polytopes

Cites Work

• Unnamed Item
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• Convex polytopes, Coxeter orbifolds and torus actions
• Moment-angle complexes, monomial ideals and Massey products
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• Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions
• A new graph invariant arises in toric topology
• On products in a real moment-angle manifold
• Coxeter complexes and graph-associahedra
• On Hochster's formula for a class of quotient spaces of moment-angle complexes
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Topological toric manifolds

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