activity
19942026
most citedIdeal boundaries of pseudo-Anosov flows and uniform convergence groups, with connections and applications to large scale geometry

40 citations · 134 across the 33 of their papers we have counts for

collaborators

37 papers

math.DS2026

Hyperbolicity of complements of orbits in Anosov flows

Sergio Fenley, Tali Pinsky, Mario Shannon

We show that if an Anosov flow on a 3-dimensional manifold has orientable stable and unstable foliations, then the complement of any filling periodic orbit is a hyperbolic manifold…

math.GT2026

Simultaneous universal circles and continuous extension

Sérgio R. Fenley, Michael P. Landry, Samuel J. Taylor

Fenley proved that any foliation almost transverse to a quasigeodesic pseudo-Anosov flow in a closed atoroidal 3-manifold has the continuous extension property, meaning the inclusi…

math.DS2026

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…

math.DS2025

Partially hyperbolic diffeormorphisms, ergodicity, and transverse foliations in dimension 3

S. R. Fenley, R. Potrie

We give a complete topological classification of (chain-)transitive partially hyperbolic diffeomorphisms in 3-manifolds in terms of Anosov flows, completing a program proposed by P…

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.GT2025

On transverse -covered minimal foliations

Thierry Barbot, Sergio R. Fenley, Rafael Potrie

We study minimal transverse foliations which are -covered. If in addition the dimension of the ambient manifold is , and the foliations are Anosov foliations we give necessar…