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higher Courant Lie algebroids

Contents

Idea

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

higher Atiyah groupoid

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

References

A proposal for standard higher Courant Lie algebroids is in

  • Marco Zambon, L 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.