Pujals' transitive classification conjecture for three-dimensional partially hyperbolic diffeomorphisms

Let $f$ be a partially hyperbolic diffeomorphism of a 3-manifold. Pujals' classification conjecture. If $f$ is transitive, then $f$ is finitely covered by one of the following: a perturbation of the time-one map of an Anosov flow, a skew product, or a DA-diffeomorphism. The conjecture proposed a complete classification of transitive three-dimensional partially hyperbolic dynamics; the source states that it was disproved by Bonatti, Gogolev, Parwani and Potrie.