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Golod and tight $3$–manifolds

Kouyemon Iriye and Daisuke Kishimoto

Algebraic & Geometric Topology 23 (2023) 2191–2212
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 3.

Keywords
Golod complex, tight triangulation, moment–angle complex, polyhedral product, fat-wedge filtration
Mathematical Subject Classification
Primary: 57Q15
Secondary: 13F55, 55U10
References
Publication
Received: 8 February 2021
Revised: 8 March 2022
Accepted: 7 April 2022
Published: 25 July 2023
Authors
Kouyemon Iriye
Department of Mathematics
Osaka Metropolitan University
Osaka
Japan
Daisuke Kishimoto
Faculty of Mathematics
Kyushu University
Fukuoka
Japan

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