Geodesic
More morphisms between bundle gerbes
Theory and applications of categories, Tome 18 (2007), pp. 240-273

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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.

Classification : 55R65, 53C29, 18B40
Keywords: 2-category, bundle gerbe, holonomy 
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     author = {Konrad Waldorf},
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     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2007_18_a8/}
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Konrad Waldorf. More morphisms between bundle gerbes. Theory and applications of categories, Tome 18 (2007), pp. 240-273. http://geodesic.mathdoc.fr/item/TAC_2007_18_a8/