More Morphisms between Bundle Gerbes
Category Theory
2007-06-13 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0702652,
title = {More Morphisms between Bundle Gerbes},
author = {Konrad Waldorf},
journal= {arXiv preprint arXiv:math/0702652},
year = {2007}
}
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40 pages