A moment-angle manifold whose cohomology has torsion

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.

Keywords

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

2010 Mathematics Subject Classification

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

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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