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arXiv · 2205.11457

Poisson geometry around Poisson submanifolds

Rui Loja Fernandes·Ioan Marcut
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Abstract

We construct a first order local model for Poisson manifolds around a large class of Poisson submanifolds and we give conditions under which this model is a local normal form. The resulting linearization theorem includes as special cases all the known linearization theorems for fixed points and symplectic leaves. The symplectic groupoid version of these results gives a solution to the groupoid coisotropic embedding problem.

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Rui Loja Fernandes, Ioan Marcut. 2022-05-23. Poisson geometry around Poisson submanifolds. https://arxiv.org/abs/2205.11457

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