Bundle gerbes
Michael K. Murray
Abstract
Just as principal bundles provide a geometric realisation of two-dimensional integral cohomology; gerbes or sheaves of groupoids, provide a geometric realisation of three dimensional integral cohomology through their Dixmier-Douady class. I consider an alternative, related, geometric realisation of three dimensional cohomology called a bundle gerbe. Every bundle gerbe gives rise to a gerbe and most of the well-known examples examples of gerbes are bundle gerbes. I discuss the properties of bundle gerbes, in particular bundle gerbe connections and curvature and their associated Dixmier-Douady class.
Create a lesson
Related papers
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
Equivariant K-Theory of Simply Connected Lie Groups
Jean-Luc Brylinski, Bin Zhang
Continuous families of isospectral metrics on simply connected manifolds
Dorothee Schueth
The beta function of a knot
Jean-Luc Brylinski
Prescribing Mean Curvature: Existence and Uniqueness Problems
George I. Kamberov
On the Spinor Representation of Surfaces in Euclidean 3-Space
Thomas Friedrich