Bundle gerbes and the Weyl map
@article{Becker2019BundleGA, title={Bundle gerbes and the Weyl map}, author={Kimberly E. Becker}, journal={arXiv: Differential Geometry}, year={2019} }
This masters 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 has numerous applications in physics.
Figures from this paper
One Citation
References
SHOWING 1-10 OF 41 REFERENCES
The Geometry of Bundle Gerbes
- Mathematics
- 2000
This thesis reviews the theory of bundle gerbes and then examines the higher dimensional notion of a bundle 2-gerbe. The notion of a bundle 2-gerbe connection and 2-curving are introduced and it is…
Equivariant bundle gerbes
- Mathematics
- 2015
We develop the theory of simplicial extensions for bundle gerbes and their characteristic classes with a view towards studying descent problems and equivariance for bundle gerbes. Equivariant bundle…
Constructions with bundle gerbes
- Mathematics
- 2003
This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related…
Bundle Gerbes: Stable Isomorphism and Local Theory
- Mathematics
- 1999
The notion of stable isomorphism of bundle gerbes is considered. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with…
Twisted K-Theory and K-Theory of Bundle Gerbes
- Mathematics
- 2002
Abstract: In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to…
An introduction to bundle gerbes
- Mathematics
- 2007
An introduction to the theory of bundle gerbes and their relationship to Hitchin-Chatterjee gerbes is presented. Topics covered are connective structures, triviality and stable isomorphism as well as…
WZW BRANES AND GERBES
- Mathematics
- 2002
We reconsider the role that bundle gerbes play in the formulation of the WZW model on closed and open surfaces. In particular, we show how an analysis of bundle gerbes on groups covered by SU(N)…
Bundle gerbes
- Mathematics
- 1994
Just as C principal bundles provide a geometric realisation of two-dimensional integral cohomology; gerbes or sheaves of groupoids, provide a geometric realisation of three dimensional integral…