Jonathan Zung

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20242026

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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…