Workshop on Recent Developments in Symplectic Dynamics
Finiteness of Anosov Flows on Closed Hyperbolic 3-manifolds via Contact Geometry
We show that on every closed 3-manifold, the pair of oppositely oriented contact structures associated with an Anosov flow completely determines the free homotopy data of its periodic orbits.
As a consequence, using works of Barthlemé-Frankel-Mann and C.-Giroux-Honda, we obtain that the number isotopy orbit equivalence classes of Anosov flows on a closed hyperbolic 3-manifold is finite.
We will also discuss further results involving toroidal manifolds as well as pseudo-Anosov flows.
This is joint work with Jonathan Bowden.
Date & Time
November 02, 2026 | 2:30pm – 3:30pm
Add to calendar
11/02/2026 14:30
11/02/2026 15:30
Workshop on Recent Developments in Symplectic Dynamics
use-title
Topic: Finiteness of Anosov Flows on Closed Hyperbolic 3-manifolds via Contact Geometry
Speakers: Vincent Colin, University of Nantes
More: https://www.ias.edu/math/events/workshop-recent-developments-symplectic-dynamics-3
We show that on every closed 3-manifold, the pair of oppositely
oriented contact structures associated with an Anosov flow completely
determines the free homotopy data of its periodic orbits.
As a consequence, using works of Barthlemé-Frankel-Mann and
C.-Giroux-Honda, we obtain that the number isotopy orbit equivalence
classes of Anosov flows on a closed hyperbolic 3-manifold is finite.
We will also discuss further results involving toroidal manifolds as
well as pseudo-Anosov flows.
This is joint work with Jonathan Bowden.
Simonyi Hall 101
a7a99c3d46944b65a08073518d638c23
Location
Simonyi Hall 101Speakers
Vincent Colin, University of Nantes