On Hausdorff integrations of Lie algebroids
Differential Geometry
2021-03-17 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2003.14364,
title = {On Hausdorff integrations of Lie algebroids},
author = {Matias del Hoyo and Daniel López Garcia},
journal= {arXiv preprint arXiv:2003.14364},
year = {2021}
}
Comments
Final version, 20 pages