The Weyl map and bundle gerbes

  title={The Weyl map and bundle gerbes},
  author={Kimberly E. Becker and Michael K. Murray and Danny Stevenson},
  journal={Journal of Geometry and Physics},

Figures from this paper

Abstract Many bundle gerbes are either infinite-dimensional, or finite-dimensional but built using submersions that are far from being fibre bundles. Murray and Stevenson [‘A note on bundle gerbes


Bundle gerbes and the Weyl map
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
Bundle Gerbes: Stable Isomorphism and Local Theory
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
Bundle gerbes
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
Bundle 2‐gerbes
We make the category BGrbM of bundle gerbes on a manifold M into a 2‐category by providing 2‐cells in the form of transformations of bundle gerbe morphisms. This description of BGrbM as a 2‐category
Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class
Twisted K-theory on a manifold X, with twisting in the 3rd integral cohomology, is discussed in the case when X is a product of a circle T and a manifold M. The twist is assumed to be decomposable as
Constructions with bundle gerbes
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
The index of projective families of elliptic operators: the decomposable case
An index theory for projective families of elliptic pseudodifferential operators is developed when the twisting, i.e. Dixmier-Douady, class is decomposable. One of the features of this special case
An introduction to bundle gerbes
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