Golod and tight 3-manifolds

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 $\ge 3$.

19 pages

References in corpus (3)

• Fat wedge filtrations and decomposition of polyhedral products
• A construction principle for tight and minimal triangulations of manifolds
• A characterization of tightly triangulated 3-manifolds