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Showing 1 to 2 of 2 for “"bundle gerbes"”.
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Bundle gerbes and the Weyl map
This thesis reviews bundle gerbe theory and the well-known basic bundle gerbe over SU(n). We introduce the cup product bundle gerbe, and show it is stably isomorphic to the pullback of the basic bundle gerbe by the Weyl map. This result enriches our understanding of the basic bundle gerbe, which …
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Lifting bundle gerbes and central extensions of gauge groups
The loop group Map(S¹,G) has a central extension by the circle called the Kac-Moody group. We use the techniques introduced in [29] to generalise this construction to higher mapping groups such as Map(∑,G) and construct the central extension ...