The basic gerbe over a compact simple Lie group

Mathematics – Differential Geometry

Scientific paper

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19 pages. To appear in L'Enseignement Mathematique

Scientific paper

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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