Fried–Ghys almost-equivalence conjecture for transitive Anosov flows

Let $\phi_1^t$ and $\phi_2^t$ be transitive Anosov flows whose stable and unstable line bundles are orientable. Fried–Ghys conjecture. The flows $\phi_1^t$ and $\phi_2^t$ are almost equivalent. This predicts that, after removing finitely many closed orbits from each flow, the resulting flows are orbit equivalent; the paper uses it as motivation for its almost-equivalence theorem for horizontal Goodman surgery.