Mathematics – Differential Geometry
Scientific paper
2002-09-16
Enseign. Math. (2) 49 (2003), no. 3-4, 307--333.
Mathematics
Differential Geometry
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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