8 papers
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…
Finiteness of veering triangulations
Thomas Barthelmé, Thomas Barthelmé, Chi Cheuk Tsang +1
We show that a finite volume cusped hyperbolic 3-manifold admits at most finitely many veering triangulations, and in fact this number is bounded above by the number of Giroux tors…
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…
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…
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…
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…