Lectures on Integrability of Lie Brackets

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Rui Loja Fernandes , Marius Crainic This is my paper · ORCID

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keywords bracketscoursegeometrygivenheldictp-triesteintegrabilitylecture

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This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.

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Connections on a principal Lie groupoid bundle and representations up to homotopy
math.DG 2025-02 conditional novelty 6.0 of 10

Connections on principal Lie groupoid bundles are defined through an action up to homotopy, yielding an Atiyah sequence of diffeological groupoids that such connections split.