Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes
Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes
We show that the loop space of a moment-angle complex associated to a 2-dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres, and certain indecomposable spaces which appear in the loop space decomposition of Moore spaces. We also give conditions on certain subcomplexes under which, localised away from sufficiently many primes, the loop space of a moment-angle complex decomposes as a finite type product of spheres and loops on spheres.
Stanton, Lewis
bb6aed52-6a94-403f-a87e-5d7b7a6c8152
Stanton, Lewis
bb6aed52-6a94-403f-a87e-5d7b7a6c8152
Stanton, Lewis
(2025)
Loop space decompositions of moment-angle complexes associated to two dimensional simplicial complexes.
Proceedings of the Edinburgh Mathematical Society.
(doi:10.1017/S0013091525000203).
Abstract
We show that the loop space of a moment-angle complex associated to a 2-dimensional simplicial complex decomposes as a finite type product of spheres, loops on spheres, and certain indecomposable spaces which appear in the loop space decomposition of Moore spaces. We also give conditions on certain subcomplexes under which, localised away from sufficiently many primes, the loop space of a moment-angle complex decomposes as a finite type product of spheres and loops on spheres.
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Accepted/In Press date: 3 March 2025
e-pub ahead of print date: 7 April 2025
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Local EPrints ID: 499847
URI: http://eprints.soton.ac.uk/id/eprint/499847
ISSN: 0013-0915
PURE UUID: 4ff32847-5c88-4777-b932-d552c641ee36
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Date deposited: 07 Apr 2025 16:44
Last modified: 28 Aug 2025 02:19
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Author:
Lewis Stanton
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