Work

Veering triangulations of once-punctured torus bundles are unique

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.32771

Authors: Schleimer, Saul, Segerman, Henry

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Division of Mathematical Sciences

Awards: Veering Triangulations and Visualization, Mathematical Sciences Research Institute (MSRI), G329468232, G6019427330

OpenAlex ID: W7223676307

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