Polyhedral products associated to pseudomanifolds

Published 5 Dec 2024 in math.AT | (2412.04116v2)

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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