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20242026
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math.DS2026

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

Thomas Barthelmé, Neige Paulet

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 wo…

math.DS2026

Pseudo-Anosov flows and the geometry of Anosov-like group actions

Thomas Barthelmé, Kathryn Mann, Neige Paulet +1

We show that the action on its orbit space induced by a pseudo-Anosov flow on a closed -manifold (and more general Anosov-like actions) can be seen as an isometric action on a G…

math.DS2026

Pseudo-Anosov Flows: A Plane Approach

Thomas Barthelmé, Kathryn Mann

In this text we (re)-tell the theory of pseudo-Anosov flows on 3-manifolds with the orbit space as the central character; via a streamlined framework called {\em Anosov-like group…

math.DS2026

Non-transitive pseudo-Anosov flows

Thomas Barthelmé, Christian Bonatti, Kathryn Mann

We study (topological) pseudo-Anosov flows from the perspective of the associated group actions on their orbit spaces and boundary at infinity. We extend the definition of Anosov-l…

math.DS2025

Transitive Anosov flows on non-compact manifolds

Thomas Barthelmé, Lingfeng Lu

In this article we study topological transitivity of Anosov flows on non-compact 3-manifolds. We provide homological conditions under which the lifts of a transitive Anosov flow to…

math.DS2025

Reconstructing flows from the orbit space

Thomas Barthelmé, Sergio Fenley, Kathryn Mann

We give some simple conditions under which a group acting on a bifoliated plane comes from the induced action of a pseudo-Anosov flow on its orbit space. An application of the stra…