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arXiv · 2003.14364

On Hausdorff integrations of Lie algebroids

Matias del Hoyo·Daniel López Garcia
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Abstract

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.

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Matias del Hoyo, Daniel López Garcia. 2021-02-17. On Hausdorff integrations of Lie algebroids. https://doi.org/10.1007/s00605-021-01535-7

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