Cup-products for the polyhedral product functor

DOI10.1017/S0305004112000230zbMath1258.13027MaRDI QIDQ4649445

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

Publication date: 22 November 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Stanley-Reisner ringsimplicial complexsuspensionmoment-angle complexcohomology ringstable homotopy type

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Simplicial sets and complexes in algebraic topology (55U10) Topological properties in algebraic geometry (14F45)

Related Items (11)

The cohomology algebra of polyhedral product spaces ⋮ On problems concerning moment-angle complexes and polyhedral products ⋮ A generalization of moment-angle manifolds with noncontractible orbit spaces ⋮ Intersections of quadrics, moment-angle manifolds and connected sums ⋮ A spectral sequence for polyhedral products ⋮ The complement of polyhedral product spaces and the dual simplicial complexes ⋮ Non-trivial higher Massey products in moment-angle complexes ⋮ On the rational type of moment-angle complexes ⋮ The homotopy theory of polyhedral products associated with flag complexes ⋮ On the (co)homology of (quotients of) moment-angle manifolds over polygons ⋮ Small covers and quasitoric manifolds over neighborly polytopes

Cites Work

• Convex polytopes, Coxeter orbifolds and torus actions
• The homotopy type of the complement of a coordinate subspace arrangement
• Moment-angle complexes, monomial ideals and Massey products
• The integral cohomology of toric manifolds
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Torus actions, combinatorial topology, and homological algebra
• Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces
• Cellular cochain algebras and torus actions

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