We present Hausdorff versions for Lie Integration Theorems 1 and 2 and apply them to study Hausdorff symplectic groupoids arising from Poisson manifolds. To prepare for these results we include a discussion on Lie equivalences and propose an algebraic approach to holonomy. We also include subsidiary results, such as a generalization of the integration of subalgebroids to the non-wide case, and explore in detail the case of foliation groupoids.

中文翻译：

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李代数的Hausdorff积分

我们介绍Lie积分定理1和2的Hausdorff版本，并将其应用于研究由Poisson流形产生的Hausdorff辛群群。为了准备这些结果，我们包括对李等价的讨论，并提出了一种代数方法。我们还包括一些辅助结果，例如将子代数积分整合到非宽泛情况，并详细探讨了叶类群的情况。