Configuration spaces and polyhedral products
Configuration spaces and polyhedral products
This paper aims to find the most general combinatorial conditions under which a moment-angle complex $(D^2,S^1)^K$ is a co-$H$-space,
thus splitting unstably in terms of its full subcomplexes. In this way we study to which extent the conjecture holds that a moment-angle complex over a Golod simplicial complex is a co-$H$-space.
Our main tool is a certain generalisation of the theory of labelled configuration spaces.
Polyhedral products, Configuration spaces, Golod ring, co-H-space
378-425
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
9 July 2017
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Grbic, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Beben, Piotr and Grbic, Jelena
(2017)
Configuration spaces and polyhedral products.
Advances in Mathematics, 314, .
(doi:10.1016/j.aim.2017.05.001).
Abstract
This paper aims to find the most general combinatorial conditions under which a moment-angle complex $(D^2,S^1)^K$ is a co-$H$-space,
thus splitting unstably in terms of its full subcomplexes. In this way we study to which extent the conjecture holds that a moment-angle complex over a Golod simplicial complex is a co-$H$-space.
Our main tool is a certain generalisation of the theory of labelled configuration spaces.
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Configurations and Polyhedral
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Accepted/In Press date: 3 May 2017
e-pub ahead of print date: 7 June 2017
Published date: 9 July 2017
Keywords:
Polyhedral products, Configuration spaces, Golod ring, co-H-space
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 390330
URI: http://eprints.soton.ac.uk/id/eprint/390330
ISSN: 0001-8708
PURE UUID: 3994ac10-e126-4140-8a29-c4b0257493dc
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Date deposited: 23 Mar 2016 16:39
Last modified: 15 Mar 2024 05:26
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Author:
Piotr Beben
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