Geometric ideal triangulations of hyperbolic 3-manifolds

Huabin Ge

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arXiv · 2609.27635

Geometric ideal triangulations of hyperbolic 3-manifolds

Huabin Ge

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Abstract

We resolve the longstanding geometric ideal triangulation conjecture arising from Thurston's theory of hyperbolic 3-manifolds: every finite-volume cusped hyperbolic 3-manifold admits a finite geometric ideal triangulation realizing its complete hyperbolic structure.

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Huabin Ge. 2026-09-23. Geometric ideal triangulations of hyperbolic 3-manifolds. https://arxiv.org/abs/2609.27635

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