On the rational type of moment-angle complexes
type: Item
instance of: scholarly article
title: On the rational type of moment-angle complexes
zbMATH Open document ID: 1310.57041
DOI: 10.1134/S0081543814060121
author: Martin Bendersky
author: S. Gitler
author: A. Bahri
author: F. R. Cohen
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2015-02-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1206.2173
review text: 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.
Mathematics Subject Classification ID: 57R18
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 57S10
Mathematics Subject Classification ID: 13F55
zbMATH DE Number: 6395346
zbMATH Keywords: moment-angle complexes
zbMATH Keywords: toric topology
zbMATH Keywords: rational elliptic spaces
reviewed by: Yves Félix
MaRDI profile type: Publication
arXiv ID: 1206.2173
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description: scientific article