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Showing 1 to 5 of 5 for “"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 ...
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Lie Theory in Generalized Kähler Geometry
… and develop the notion of groupoid equivariant gerbes, double groupoid equivariant gerbes, Morita equivalences between equivariant gerbes. We make a connection between equivariant gerbes and shifted symplectic structures, and determine the gerbe prequantization of pluriclosed 2-forms.
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Equivariance in Tannakian duality and plectic p-adic Hodge theory
… semidirect product gerbe G ⋊ S. We describe such gerbes in terms of Cech cocycles via the cohomology of crossed modules. We characterise a dual form of the Grothendieck construction and show that in the special case of the group S acting on a Tannakian category C, it gives rise to the category C^S …
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Reconstruction of deligne classes and cocycles
In der vorliegenden Arbeit verallgemeinern wir im Wesentlichen zwei Theoreme von Mackaay-Picken und Picken (2002, 2004). Im ihrem Artikel zeigen Mackaay und Picken,dass es eine bijektive Korrespodenz zwischen Deligne 2-Klassen $\xi \in \check{H}^2(M, \mathcal{D}^2)$ und Holonomie Abbildungen von …