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n/3-neighbourly moment-angle complexes and their unstable splittings

n/3-neighbourly moment-angle complexes and their unstable splittings
n/3-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 ZK 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 ZK.
polyhedral product, moment-angle complex, toric topology, stanley-reisner ring, golod ring, neighbourly simplicial complexes
1405-213x
141-152
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175

Beben, Piotr and Grbic, Jelena (2017) n/3-neighbourly moment-angle complexes and their unstable splittings. Boletín de la Sociedad Matemática Mexicana, 23 (1), 141-152. (doi:10.1007/s40590-016-0092-z).

Record type: Article

Abstract

Given an n/3-neighbourly simplicial complex K on vertex set [n],we show that the moment-angle complex ZK 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 ZK.

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More information

Accepted/In Press date: 27 January 2016
e-pub ahead of print date: 16 March 2016
Published date: April 2017
Keywords: polyhedral product, moment-angle complex, toric topology, stanley-reisner ring, golod ring, neighbourly simplicial complexes
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 390210
URI: https://eprints.soton.ac.uk/id/eprint/390210
ISSN: 1405-213x
PURE UUID: 0f93ae01-600c-4d43-878a-0f271d2e22a1
ORCID for Jelena Grbic: ORCID iD orcid.org/0000-0002-7164-540X

Catalogue record

Date deposited: 22 Mar 2016 11:53
Last modified: 15 Aug 2019 00:35

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