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Configuration spaces and polyhedral products

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
0001-8708
378-425
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) Configuration spaces and polyhedral products. Advances in Mathematics, 378-425. (doi:10.1016/j.aim.2017.05.001).

Record type: Article

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 - Accepted Manuscript
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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: https://eprints.soton.ac.uk/id/eprint/390330
ISSN: 0001-8708
PURE UUID: 3994ac10-e126-4140-8a29-c4b0257493dc
ORCID for Jelena Grbic: ORCID iD orcid.org/0000-0002-7164-540X

Catalogue record

Date deposited: 23 Mar 2016 16:39
Last modified: 15 Aug 2019 05:34

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