Moment-angle manifolds associated to neighbourly triangulations of spheres

Amaranta Membrillo Solis; Stephen Theriault

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arXiv · 2605.01396

Moment-angle manifolds associated to neighbourly triangulations of spheres

Amaranta Membrillo Solis·Stephen Theriault

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Abstract

We show that a moment-angle manifold associated to a neighbourly triangulation of an odd dimensional sphere is homotopy equivalent to a connected sum of products of two spheres, resolving a problem of Buchstaber and Panov. The methods are entirely homotopy theoretic, allowing for an extension to a corresponding result in the case of generalized moment-angle manifolds.

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Amaranta Membrillo Solis, Stephen Theriault. 2026-05-02. Moment-angle manifolds associated to neighbourly triangulations of spheres. https://arxiv.org/abs/2605.01396

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