Lie groupoids and their natural transformations
Olivier Brahic, Dion Pasievitch
TL;DR
This paper explores natural transformations within Lie groupoids and their infinitesimal versions, introducing an integration method to produce smooth natural transformations between Lie groupoid morphisms.
Contribution
It presents a novel integration procedure that constructs smooth natural transformations from infinitesimal data in the context of Lie groupoids.
Findings
Developed an integration method for natural transformations
Established a correspondence between infinitesimal and global transformations
Provided a framework for smooth natural transformations in Lie groupoids
Abstract
We discuss natural transformations in the context of Lie groupoids, and their infinitesimal counterpart. Our main result is an integration procedure that provides smooth natural transformations between Lie groupoid morphisms.
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