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arXiv · 1703.04411

On local integration of Lie brackets

Alejandro Cabrera·Ioan Marcut·Maria Amelia Salazar
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Abstract

We give a direct, explicit and self-contained construction of a local Lie groupoid integrating a given Lie algebroid which only depends on the choice of a spray vector field lifting the underlying anchor map. This construction leads to a complete account of local Lie theory and, in particular, to a finite-dimensional proof of the fact that the category of germs of local Lie groupoids is equivalent to that of Lie algebroids.

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Alejandro Cabrera, Ioan Marcut, Maria Amelia Salazar. 2017-03-13. On local integration of Lie brackets. https://doi.org/10.1515/crelle-2018-0011

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