n3-neighbourly moment-angle complexes and their unstable splittings

Given an n 3 -neighbourly simplicial complex K on vertex set [ n ], we show that the moment-angle complex Z K is a co - H -space if and only if K satisfies a homotopy analogue of the Golod property. This gives a sufficient condition for the integral formality of Z K .

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Bibliographic Details
Published inBoletín de la Sociedad Matemática Mexicana Vol. 23; no. 1; pp. 141 - 152
Main Authors Beben, Piotr, Grbić, Jelena
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.04.2017
Subjects
Mathematics
Mathematics and Statistics
Original Article
55U10
Toric topology
Stanley-Reisner ring
Primary 55P15
Neighbourly simplicial complexes
Moment-angle complex
Polyhedral product
Golod ring
13F55
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Summary:Given an n 3 -neighbourly simplicial complex K on vertex set [ n ], we show that the moment-angle complex Z K is a co - H -space if and only if K satisfies a homotopy analogue of the Golod property. This gives a sufficient condition for the integral formality of Z K .
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-016-0092-z