3 papers
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…
math.DS2025
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.DS2024
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…