On the rational type of moment-angle complexes (Q2514592)
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| Language | Label | Description | Also known as |
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| English | On the rational type of moment-angle complexes |
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On the rational type of moment-angle complexes (English)
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3 February 2015
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In this paper the authors prove that the only moment-angle complexes \(Z(K;(D^2, S^1))\) which are rationally elliptic are those which are rationally a product of odd spheres. The result was originally proved by \textit{G. Debongnie} [Proc. Am. Math. Soc. 136, No. 6, 2245--2252 (2008; Zbl 1145.55011)]. Here the authors give a new proof based on a natural detailed study of the topology of finite simplicial complexes.
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moment-angle complexes
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toric topology
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rational elliptic spaces
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