nLab higher Courant Lie algebroids

Idea

The further refinement to higher geometry of the notion of Courant Lie 2-algebroids.

higher Atiyah groupoid:	standard higher Atiyah groupoid	higher Courant groupoid	groupoid version of quantomorphism n-group
coefficient for cohomology:	$\mathbf{B}\mathbb{G}$	$\mathbf{B}(\mathbf{B}\mathbb{G}_{\mathrm{conn}})$	$\mathbf{B} \mathbb{G}_{conn}$
type of fiber ∞-bundle:	principal ∞-bundle	principal ∞-connection without top-degree connection form	principal ∞-connection

A proposal for standard higher Courant Lie algebroids is in

Marco Zambon, $L_\infty$ -algebras and higher analogues of Dirac structures and Courant algebroids, J. Symplectic Geometry, (arXiv:1003.1004)

Created on February 20, 2013 at 01:06:36. See the history of this page for a list of all contributions to it.