English

Golod and tight 3-manifolds

Combinatorics 2023-08-02 v1 Algebraic Topology Geometric Topology

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\ge 3.

Keywords

Cite

@article{arxiv.2102.00190,
  title  = {Golod and tight 3-manifolds},
  author = {Kouyemon Iriye and Daisuke Kishimoto},
  journal= {arXiv preprint arXiv:2102.00190},
  year   = {2023}
}

Comments

19 pages

R2 v1 2026-06-23T22:40:48.794Z