Loop space decompositions of moment-angle complexes associated to flag complexes

Lewis Stanton

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arXiv · 2306.12814

Loop space decompositions of moment-angle complexes associated to flag complexes

Lewis Stanton

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Abstract

We prove that the loop space of the moment-angle complex associated to the $k$-skeleton of a flag complex belongs to the class $\mathcal{P}$ of spaces homotopy equivalent to a finite type product of spheres and loops on simply connected spheres. To do this, a general result showing $\mathcal{P}$ is closed under retracts is proved.

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Lewis Stanton. 2023-06-22. Loop space decompositions of moment-angle complexes associated to flag complexes. https://arxiv.org/abs/2306.12814

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