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arXiv · 2108.11490

Lie groups of Poisson diffeomorphisms

Wilmer Smilde
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Abstract

By considering suitable Poisson groupoids, we develop an approach to obtain Lie group structures on (subgroups of) the Poisson diffeomorphism groups of various classes of Poisson manifolds. As applications, we show that the Poisson diffeomorphism groups of (normal-crossing) log-symplectic, elliptic symplectic, scattering-symplectic and cosymplectic manifolds are regular infinite-dimensional Lie groups.

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Wilmer Smilde. 2021-08-25. Lie groups of Poisson diffeomorphisms. https://arxiv.org/abs/2108.11490

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