Finite Periodic Data Rigidity For Two-Dimensional Area-Preserving Anosov Diffeomorphisms

Thomas Aloysius O'Hare

Let $f,g$ be $C^2$ area-preserving Anosov diffeomorphisms on ${\mathbb{T}}^2$ which are topologically conjugate by a homeomorphism $h$ ($hf=gh$). We assume that the Jacobian periodic…