Loop space decompositions of moment-angle complexes associated to two-dimensional simplicial complexes

Abstract We show that the loop space of a moment-angle complex associated to a two-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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Publication Details

Journal
Proceedings of the Edinburgh Mathematical Society
Published
2025-04-07
DOI
https://doi.org/10.1017/s0013091525000203
Citations
1
Primary Topic
Molecular spectroscopy and chirality
Type
article
Field-Weighted Citation Impact
0.76
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article

Loop space decompositions of moment-angle complexes associated to two-dimensional simplicial complexes

Lewis Stanton
1 citations
Proceedings of the Edinburgh Mathematical Society
Molecular spectroscopy and chirality
0.76
article

Loop space decompositions of moment-angle complexes associated to two-dimensional simplicial complexes

Lewis Stanton
article en
1 citations

Abstract

Abstract We show that the loop space of a moment-angle complex associated to a two-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.

Proceedings of the Edinburgh Mathematical SocietyVol. 68(4)
University of Southampton (GB)
Openalex Percentile: Top 33%
Molecular spectroscopy and chirality
0.76
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