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Periodic data rigidity of Anosov automorphisms with Jordan blocks

Jonathan DeWitt

Abstract

Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes $C^{1+}$ conjugacy for Anosov automorphisms of the four dimensional torus with a Jordan block.

Periodic data rigidity of Anosov automorphisms with Jordan blocks

Abstract

Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes conjugacy for Anosov automorphisms of the four dimensional torus with a Jordan block.