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arXiv · 2102.00190

Golod and tight 3-manifolds

Kouyemon Iriye·Daisuke Kishimoto
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Abstract

The notions Golodness and tightness for simplicial complexes come from algebra and geometry, respectively. We prove these two notions are equivalent for 3-manifold triangulations, through a topological characterization of a polyhedral product for a tight-neighborly manifold triangulation of dimension $\ge 3$.

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Kouyemon Iriye, Daisuke Kishimoto. 2021-01-30. Golod and tight 3-manifolds. https://doi.org/10.2140/agt.2023.23.2191

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