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math.GT2026
Ziggurats, taut foliations, and contact structures
Thomas Massoni, Jonathan Zung
We study the geography of taut foliations on compact -manifolds with toroidal boundary components. The central object of our work is the set of boundary multislopes realized by…
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.DS2026
Quasimorphisms and Pseudo-Anosov flows
Danny Calegari, Jonathan Zung
We describe two connections between the theory of quasimorphisms and pseudo-Anosov flows without perfect fits on closed hyperbolic 3-manifolds. First we show that for every such fl…