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The basic gerbe over a compact simple Lie group

Eckhard Meinrenken
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Abstract

Let $G$ be a compact, simply connected simple Lie group. We give a construction of an equivariant gerbe with connection on $G$, with equivariant 3-curvature representing a generator of $H^3_G(G,\Z)$. Technical tools developed in this context include a gluing construction for gerbes and a theory of equivariant bundle gerbes.

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Eckhard Meinrenken. 2003-07-14. The basic gerbe over a compact simple Lie group. https://arxiv.org/abs/math/0209194

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