nLab
higher Courant groupoid

Contents

Idea

The Lie integration of higher Courant Lie 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

slice-automorphism ∞-groups in higher prequantum geometry

cohesive ∞-groups:Heisenberg ∞-group\hookrightarrowquantomorphism ∞-group\hookrightarrow∞-bisections of higher Courant groupoid\hookrightarrow∞-bisections of higher Atiyah groupoid
L-∞ algebras:Heisenberg L-∞ algebra\hookrightarrowPoisson L-∞ algebra\hookrightarrowCourant L-∞ algebra\hookrightarrowtwisted vector fields

Last revised on February 20, 2013 at 21:46:44. See the history of this page for a list of all contributions to it.