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
141-152
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
April 2017
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), .
(doi:10.1007/s40590-016-0092-z).
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.
Text
neighbourly 4.pdf
- Accepted Manuscript
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: http://eprints.soton.ac.uk/id/eprint/390210
ISSN: 1405-213x
PURE UUID: 0f93ae01-600c-4d43-878a-0f271d2e22a1
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Date deposited: 22 Mar 2016 11:53
Last modified: 15 Mar 2024 03:45
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Author:
Piotr Beben
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