higher Courant Lie algebroids

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.