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$$\frac{n}{3}$$ n3 -neighbourly moment-angle complexes and their unstable splittings

Authors :
Beben, Piotr
Grbić, Jelena
Source :
Boletín de la Sociedad Matemática Mexicana; April 2017, Vol. 23 Issue: 1 p141-152, 12p
Publication Year :
2017

Abstract

Given an $$\frac{n}{3}$$ n3 -neighbourly simplicial complex Kon vertex set [n], we show that the moment-angle complex $$\mathcal Z_K$$ ZK is a co-H-space if and only if Ksatisfies a homotopy analogue of the Golod property. This gives a sufficient condition for the integral formality of $$\mathcal Z_K$$ ZK .

Details

Language :
English
ISSN :
1405213X and 22964495
Volume :
23
Issue :
1
Database :
Supplemental Index
Journal :
Boletín de la Sociedad Matemática Mexicana
Publication Type :
Periodical
Accession number :
ejs38588272
Full Text :
https://doi.org/10.1007/s40590-016-0092-z