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math.GT2026
Finiteness of veering triangulations
Thomas Barthelmé, Chi Cheuk Tsang, Jonathan Zung
We show that a finite volume cusped hyperbolic 3-manifold admits at most finitely many veering triangulations, and in fact this number is bounded above by the number of Giroux tors…
math.GT2024
Completing Prelaminations
Thomas Barthelmé, Christian Bonatti, Kathryn Mann
Motivated by problems in the study of Anosov and pseudo-Anosov flows on 3-manifolds, we characterize when a pair of subsets of transverse laminations of the circle can…