From pseudo-Anosov flows on graph manifolds to totally periodic flows

Chi Cheuk Tsang

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arXiv · 2603.27362

From pseudo-Anosov flows on graph manifolds to totally periodic flows

Chi Cheuk Tsang

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Abstract

We show that every pseudo-Anosov flow on a graph manifold is almost equivalent, i.e. orbit equivalent in the complement of a finite collection of closed orbits, to a totally periodic pseudo-Anosov flow or a suspension Anosov flow. The proof is via a hands-on construction of a partial Birkhoff section with genus one components that misses finitely many closed orbits. When combined with previous work of the author, this implies that every transitive Anosov flow on a graph manifold with orientable stable and unstable foliations is almost equivalent to a suspension Anosov flow.

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Chi Cheuk Tsang. 2026-03-28. From pseudo-Anosov flows on graph manifolds to totally periodic flows. https://arxiv.org/abs/2603.27362

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