Jonathan Zung

activity

20242026

collaborators

7 papers

math.GT2026

Ziggurats, taut foliations, and contact structures

Thomas Massoni, Jonathan Zung

We study the geography of taut foliations on compact $3$ -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…

math.GT2025

Pseudo-Anosov flows on hyperbolic L-spaces

John A. Baldwin, Steven Sivek, Jonathan Zung

We prove that for each $n \in N$ there is a hyperbolic L-space with $n$ pseudo-Anosov flows, no two of which are orbit equivalent. These flows have no perfect fits and are t…

math.GT2024

Veering triangulations and transverse foliations

Jonathan Zung

We present a combinatorial approach to the existence of foliations and contact structures transverse to a given pseudo-Anosov flow. Let $φ$ be a transitive pseudo-Anosov flow on a…

math.GT2024

Pseudo-Anosov representatives of stable Hamiltonian structures

Jonathan Zung

A pseudo-Anosov homeomorphism of a surface is a canonical representative of its mapping class. In this paper, we explain that a transitive pseudo-Anosov flow is similarly a canonic…

math.DS2024

Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows

Malo Jézéquel, Jonathan Zung

To a transitive pseudo-Anosov flow $φ$ on a $3$ -manifold $M$ and a representation $ρ$ of $π_{1} (M)$ , we associate a zeta function $ζ_{φ, ρ} (s)$ defined for $ℜ s ≫ 1$ , generalizing…