3 papers
math.DS2025
From pre-lamination to foliated plane
Christian Bonatti, Théo Marty
To a singular foliation on the plane corresponds a circular boundary at infinity endowed with a pre-lamination on the circle. We solve the converse direction. We determine which pr…
math.DS2024
Skewed Anosov flows are orbit equivalent to Reeb-Anosov flows in dimension 3
Théo Marty
We prove that in dimension 3, Anosov flows which are -covered and skewed are orbit equivalent to Reeb-Anosov flows. We characterize the existence of an invariant contac…
math.DS2024
Oriented Birkhoff sections of Anosov flows
Masayuki Asaoka, Christian Bonatti, Théo Marty
This paper gives 3 different proofs (independently obtained by the 3 authors) of the following fact: given an Anosov flow on an oriented 3 manifold, the existence of a positive Bir…