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Smooth 2-Group Extensions and Symmetries of Bundle Gerbes

Smooth 2-Group Extensions and Symmetries of Bundle Gerbes

Abstract We study bundle gerbes on manifolds M that carry an action of a connected Lie group G . We show that these data give rise to a smooth 2-group extension of G by the smooth 2-group of hermitean line bundles on M . This 2-group extension classifies equivariant structures …