A spectral sequence for polyhedral products

DOI10.1016/j.aim.2016.12.028zbMath1406.55010arXiv1511.08292OpenAlexW2962723694WikidataQ104161115 ScholiaQ104161115MaRDI QIDQ507224

Samuel Gitler, Anthony Bahri, Martin Bendersky, Frederick R. Cohen

Publication date: 3 February 2017

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

Full work available at URL: https://arxiv.org/abs/1511.08292

zbMATH Keywords

stable splittingscohomologysimplicial complexesspectral sequencespolyhedral productsmoment-angle complexes

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Other homology theories in algebraic topology (55N35) Singular homology and cohomology theory (55N10) Generalized cohomology and spectral sequences in algebraic topology (55T25) General theory of spectral sequences in algebraic topology (55T05)

Related Items

On problems concerning moment-angle complexes and polyhedral products ⋮ A generalization of moment-angle manifolds with noncontractible orbit spaces ⋮ On the graph products of simplicial groups and connected Hopf algebras ⋮ A spectral sequence for polyhedral products

Cites Work

• Unnamed Item
• The cohomology algebra of polyhedral product spaces
• The Euler characteristic of a polyhedral product
• A spectral sequence for polyhedral products
• Convex polytopes, Coxeter orbifolds and torus actions
• Moment-angle complexes, monomial ideals and Massey products
• The homotopy type of the polyhedral product for shifted complexes
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces
• Cup-products for the polyhedral product functor
• Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues