Local and global integrability of Lie brackets
Rui Loja Fernandes, Yuxuan Zhang
TL;DR
This paper surveys recent advances in understanding when Lie algebroids can be integrated into Lie groupoids, focusing on both local and global conditions, and explores the integrability of related geometric structures.
Contribution
It provides a comprehensive overview of recent results on the integrability criteria for Lie algebroids and their associated geometric structures.
Findings
Summarizes key integrability conditions for Lie algebroids.
Highlights recent progress in local and global integrability results.
Discusses the integrability of infinitesimal multiplicative geometric structures.
Abstract
We survey recent results on the local and global integrability of a Lie algebroid, as well as the integrability of infinitesimal multiplicative geometric structures on it.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons · Advanced Topics in Algebra