$C^0$-rigidity of Poisson diffeomorphisms

Abstract

We prove the Poisson version of the Gromov-Eliashberg's $C^0$-rigidity. More precisely, we prove that the group of Poisson diffeomorphisms is closed with respect to the $C^0$ topology inside the group of all diffeomorphisms. The proof relies on the Poisson version of the energy-capacity inequality.

6 pages, final version

References in corpus (1)

• Coisotropic rigidity and C^0-symplectic geometry