Combinatorial description of closed $3$-manifolds via ordered ideal triangulations
Geometric Topology
2026-05-29 v1
Abstract
It is well known that every compact oriented 3-manifold admits an ideal triangulation, and that any two such triangulations with at least two ideal tetrahedra are related by a sequence of Pachner - moves. Motivated by constructions in quantum topology, we give a combinatorial description of closed -manifolds in terms of ordered ideal triangulations and ordered Pachner - and - moves.
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Cite
@article{arxiv.2605.29443,
title = {Combinatorial description of closed $3$-manifolds via ordered ideal triangulations},
author = {Stavros Garoufalidis and Rinat Kashaev and Sakie Suzuki},
journal= {arXiv preprint arXiv:2605.29443},
year = {2026}
}
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16 pages