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.
Lectures on Integrability of Lie Brackets
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.
citation-role summary
background 1
citation-polarity summary
fields
math.DG 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Connections on a principal Lie groupoid bundle and representations up to homotopy
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.