∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
A Lie 2-groupoid is a 2-truncated ∞-Lie groupoid.
Every Lie groupoid is a special case of a Lie 2-groupoid.
For an abelian Lie group, its double delooping is a Lie 2-groupoid .
More generally for a Lie 2-group, its delooping is a one-object lie 2-groupoid
For a smooth manifold, the path 2-groupoid is a Lie 2-groupoid (a 2-groupoid internal to diffeological space)s.
Last revised on April 25, 2013 at 14:23:43. See the history of this page for a list of all contributions to it.