Homology, Homotopy and Applications

Volume 21 (2019)

Number 2

A moment-angle manifold whose cohomology has torsion

Pages: 199 – 212

DOI: https://dx.doi.org/10.4310/HHA.2019.v21.n2.a11


Xiaomeng Li (Henan Experimental High School, Zhengzhou, Henan, China)

Gefei Wang (School of Mathematical Science, Nankai University, Tianjin, China)


In this paper we give a method to construct moment-angle manifolds whose cohomology has torsion. We also give method to describe the corresponding simplicial sphere by its non-faces.


moment-angle manifold, stellar subdivision, full subcomplex, missing face and simplicial complement

2010 Mathematics Subject Classification

05A19, 05E40, 13F55, 52B05, 52B10

This project is supported by NSFC No. 11471167, No. 11871284 and No. 11761072.

Received 3 July 2018

Received revised 26 September 2018

Accepted 5 November 2018

Published 27 February 2019