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arXiv · 2302.05559

$C^0$-rigidity of Poisson diffeomorphisms

Dušan Joksimović
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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.

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Dušan Joksimović. 2023-02-11. $C^0$-rigidity of Poisson diffeomorphisms. https://doi.org/10.1007/s11005-023-01696-6

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