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arXiv · 2608.13526

Uniqueness of gluings and virtual finiteness of pseudo-Anosov flows on graph manifolds

Thomas Barthelmé·Neige Paulet
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Abstract

In this article, we give a characterization of when two pseudo-Anosov flows obtained via gluings of pieces of pseudo-Anosov flows are orbit equivalent. As an application of this work, and the description of pseudo-Anosov flows in Seifert pieces due to Barbot and Fenley, we prove a ``virtual'' version of the Finiteness Conjecture for transitive pseudo-Anosov flows on graph-manifolds.

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Thomas Barthelmé, Neige Paulet. 2026-08-13. Uniqueness of gluings and virtual finiteness of pseudo-Anosov flows on graph manifolds. https://arxiv.org/abs/2608.13526

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