A Cheeger-type exponential bound for the number of triangulated manifolds

DOI10.4171/AIHPD/85zbMath1446.57024arXiv1710.00130OpenAlexW3034166601WikidataQ115481623 ScholiaQ115481623MaRDI QIDQ784851

Bruno Benedetti, Karim A. Adiprasito

Publication date: 3 August 2020

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00130

zbMATH Keywords

triangulationscollapsibilitybounded geometrydiscrete quantum gravitygeometric manifoldsdiscrete finiteness Cheeger theoremsimple homotopy theory

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Global Riemannian geometry, including pinching (53C20) Asymptotic enumeration (05A16) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

On the number of coloured triangulations of \(d\)-manifolds ⋮ Collapsibility of CAT(0) spaces ⋮ Polytopal Bier spheres and Kantorovich-Rubinstein polytopes of weighted cycles

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