The basic gerbe over a compact simple Lie group
Eckhard Meinrenken
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 H3G(G,). Technical tools developed in this context include a gluing construction for gerbes and a theory of equivariant bundle gerbes.
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