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The point of Konrad’s articles is to characterize the image of the transgression operation on bundle gerbes, i.e. to describe how to recognize if a bundle on loop space arises as the transgression of a bundle gerbe on the base (namely: if it carries fusion structure).
I can add the references to the entry, when I have a spare minute.
[edit: have done so now, announced here]
(In most cases, a reference not being included in some entry just signifies that nobody got around to including it.)
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