Polyhedral products associated to pseudomanifolds
Polyhedral products associated to pseudomanifolds
We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of S^2 and S^3 decompose as a product of spheres and loops on spheres.
polyhedral product, homotopy type, pseudomanifold, triangulation
Stanton, Lewis Richard
bb6aed52-6a94-403f-a87e-5d7b7a6c8152
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
11 June 2025
Stanton, Lewis Richard
bb6aed52-6a94-403f-a87e-5d7b7a6c8152
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Stanton, Lewis Richard and Theriault, Stephen
(2025)
Polyhedral products associated to pseudomanifolds.
International Mathematics Research Notices, 2025 (12), [rnaf164].
(doi:10.1093/imrn/rnaf164).
Abstract
We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces of moment-angle manifolds associated to triangulations of S^2 and S^3 decompose as a product of spheres and loops on spheres.
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pseudomanifold_revised
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Text
rnaf164
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Accepted/In Press date: 22 May 2025
Published date: 11 June 2025
Keywords:
polyhedral product, homotopy type, pseudomanifold, triangulation
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Local EPrints ID: 502796
URI: http://eprints.soton.ac.uk/id/eprint/502796
ISSN: 1687-0247
PURE UUID: c71002f0-7df3-44c8-8470-be3d23662f13
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Date deposited: 08 Jul 2025 16:50
Last modified: 11 Sep 2025 02:38
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Author:
Lewis Richard Stanton
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