Trees of nuclei and bounds on the number of triangulations of the 3-ball

DOI10.1007/s00220-013-1859-yzbMath1317.57013arXiv1204.6161OpenAlexW2012577563MaRDI QIDQ393706

M. Younan, Pierre Collet, Jean-Pierre Eckmann

Publication date: 24 January 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6161

zbMATH Keywords

triangulated \(3\)-balls

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Triangulating manifolds (57Q15) Polyhedral manifolds (52B70)

Related Items (3)

On the number of coloured triangulations of \(d\)-manifolds ⋮ Exponential bounds on the number of causal triangulations ⋮ Mogami manifolds, nuclei, and 3D simplicial gravity

Uses Software

• Simplicial complex library

Cites Work

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• On locally constructible spheres and balls
• Many triangulated 3-spheres
• Remarks on the entropy of \(3\)-manifolds
• A topological glass
• THREE-DIMENSIONAL SIMPLICIAL QUANTUM GRAVITY AND GENERALIZED MATRIX MODELS
• Quantum Geometry
• A Census of Planar Triangulations
• Glass transition in self-organizing cellular patterns

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