Equivariant gerbes over compact simple Lie groups

Details Equivariant gerbes over compact simple Lie groups Equivariant gerbes over compact simple Lie groups

2003-06-11

arxiv.org/abs/math/0306183v1

C. R. Acad. Sci. Paris, Ser. I 336 (2003) 251-256

Mathematics

Symplectic Geometry

6 pages

Scientific paper

Using groupoid $S^1$-central extensions, we present, for a compact simple Lie
group $G$, an infinite dimensional model of $S^1$-gerbe over the differential
stack $G/G$ whose Dixmier-Douady class corresponds to the canonical generator
of the equivariant cohomology $H_G^3 (G, Z)$.

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