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Golod and tight
$3$–manifolds
Kouyemon Iriye and Daisuke Kishimoto |
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Algebraic & Geometric Topology 23 (2023) 2191–2212
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Abstract |
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The notions Golodness and tightness for simplicial complexes come from algebra and geometry, respectively. We prove these two notions are equivalent for –manifold triangulations, through a topological characterization of a polyhedral product for a tight-neighborly manifold triangulation of dimension . |
Keywords
Golod complex, tight triangulation, moment–angle complex,
polyhedral product, fat-wedge filtration
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Mathematical Subject Classification
Primary: 57Q15
Secondary: 13F55, 55U10
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References |
Publication
Received: 8 February 2021
Revised: 8 March 2022
Accepted: 7 April 2022
Published: 25 July 2023
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Authors |
| Kouyemon Iriye | |
| Department of Mathematics Osaka Metropolitan University Osaka Japan |
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| Daisuke Kishimoto | |
| Faculty of Mathematics Kyushu University Fukuoka Japan |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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