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More morphisms between bundle gerbes

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Konrad Waldorf

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.

Keywords:
2-category, bundle gerbe, holonomy

2000 MSC:
55R65, 53C29, 18B40

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

http://www.tac.mta.ca/tac/volumes/18/9/18-09.dvi

http://www.tac.mta.ca/tac/volumes/18/9/18-09.ps

http://www.tac.mta.ca/tac/volumes/18/9/18-09.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/18/9/18-09.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/18/9/18-09.ps

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