7 papers
A characterization of pseudo-Anosov orbit spaces via bifoliated planes
Kathryn Mann, Samuel J. Taylor
We characterize the actions on bifoliated planes that arise as orbits spaces of transitive pseudo-Anosov flows on orientable closed 3-manifold. We use branched covers, veering tria…
Exotic codimension one Anosov flows
Sergio Fenley, Kathryn Mann, Rafael Potrie
We construct Anosov flows in certain circle bundles over closed hyperbolic 3-manifolds, producing counterexamples to a conjecture of Verjovsky. Some of these 4-manifolds admit infi…
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…
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…