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Polyhedral products for wheel graphs and their generalizations

Polyhedral products for wheel graphs and their generalizations
Polyhedral products for wheel graphs and their generalizations
A general homotopy decomposition is established for the based loops on certain poly- hedral products. This is then specialized to obtain an explicit homotopy decomposition for the loops on the moment-angle complex Z_K, where K is a wheel graph or a generalization thereof.
polyhedral product, homotopy type, loop space
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Theriault, Stephen (2022) Polyhedral products for wheel graphs and their generalizations. Fields Institute Communications. (In Press)

Record type: Article

Abstract

A general homotopy decomposition is established for the based loops on certain poly- hedral products. This is then specialized to obtain an explicit homotopy decomposition for the loops on the moment-angle complex Z_K, where K is a wheel graph or a generalization thereof.

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Wheel revised - Accepted Manuscript
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More information

Accepted/In Press date: 17 March 2022
Keywords: polyhedral product, homotopy type, loop space

Identifiers

Local EPrints ID: 467338
URI: http://eprints.soton.ac.uk/id/eprint/467338
PURE UUID: 1fbb76f0-a82f-424d-84fa-d4b5216cb2d4
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 06 Jul 2022 17:10
Last modified: 17 Mar 2024 03:30

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