More Morphisms between Bundle Gerbes

By K. Waldorf. Theory and Applications of Categories, 2007

75 citations recorded by the source corpus.

Usually bundle gerbes are considered as objects of a 2-groupoid, whose 1- morphisms, called stable isomorphisms, are all invertible. I introduce new 1-morphisms which include stable isomorphisms, trivializations and bundle gerbe modules. They fit into the structure of a 2-category of bundle gerbes, and lead to natural definitions of surface holonomy for closed surfaces, surfaces with boundary, and unoriented closed surfaces.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/27f6c5d5c1cd5df59950e6fe3c7619c235543812