The triangulation complexity of elliptic and sol 3-manifolds

Marc Lackenby; Jessica S. Purcell

doi:10.1007/s00208-023-02790-9

The triangulation complexity of elliptic and sol 3-manifolds

Marc Lackenby
, Jessica S. Purcell

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

The triangulation complexity of a compact 3-manifold M is the minimal number of tetrahedra in any triangulation of M. We compute the triangulation complexity of all elliptic 3-manifolds and all sol 3-manifolds, to within a universally bounded multiplicative error.

Original language	English
Pages (from-to)	1623-1667
Number of pages	45
Journal	Mathematische Annalen
Volume	390
DOIs	https://doi.org/10.1007/s00208-023-02790-9
Publication status	Published - 2024

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title = "The triangulation complexity of elliptic and sol 3-manifolds",

abstract = "The triangulation complexity of a compact 3-manifold M is the minimal number of tetrahedra in any triangulation of M. We compute the triangulation complexity of all elliptic 3-manifolds and all sol 3-manifolds, to within a universally bounded multiplicative error.",

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JO - Mathematische Annalen

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The triangulation complexity of elliptic and sol 3-manifolds

Abstract

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