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arXiv · 2610.32771

Veering triangulations of once-punctured torus bundles are unique

Saul Schleimer·Henry Segerman
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Abstract

We show that each hyperbolic once-punctured torus bundle has exactly one veering triangulation. We also find manifolds for which the exact number of veering structures is known and is greater than one. Finally, we give new examples of manifolds without veering triangulations.

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Saul Schleimer, Henry Segerman. 2026-10-23. Veering triangulations of once-punctured torus bundles are unique. https://arxiv.org/abs/2610.32771

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