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Equivariant gerbes over compact simple Lie groups

Kai Behrend·Ping Xu·Bin Zhang
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Abstract

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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Kai Behrend, Ping Xu, Bin Zhang. 2003-06-11. Equivariant gerbes over compact simple Lie groups. https://arxiv.org/abs/math/0306183

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