More Morphisms between Bundle Gerbes

Details More Morphisms between Bundle Gerbes More Morphisms between Bundle Gerbes

2007-02-22

arxiv.org/abs/math/0702652v1

Theory and Applications of Categories, Vol. 18, No. 9, 2007, pp. 240-273

Mathematics

Category Theory

40 pages

Scientific paper

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.

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