Jonathan Zung

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20242026

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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.DS2024

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

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…