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• W2022786738 abstract "This article gives a natural decomposition of the suspension of a generalized moment-angle complex or partial product space which arises as the polyhedral product functor described below. The introduction and application of the smash product moment-angle complex provides a precise identification of the stable homotopy type of the values of the polyhedral product functor. One direct consequence is an analysis of the associated cohomology. For the special case of the complements of certain subspace arrangements, the geometrical decomposition implies the homological decomposition in earlier work of others as described below. Because the splitting is geometric, an analogous homological decomposition for a generalized moment-angle complex applies for any homology theory. Implied, therefore, is a decomposition for the Stanley–Reisner ring of a finite simplicial complex, and natural generalizations." @default.
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• W2022786738 date "2009-07-28" @default.
• W2022786738 modified "2023-09-23" @default.
• W2022786738 title "Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces" @default.
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• W2022786738 doi "https://doi.org/10.1073/pnas.0905159106" @default.
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