Gerbes, Holonomy Forms and Real Structures

Details Gerbes, Holonomy Forms and Real Structures Gerbes, Holonomy Forms and Real Structures

2009-04-27

arxiv.org/abs/0904.4265v1

Comm. Contemp. Math. 11 (2009) 109-130

Mathematics

Differential Geometry

22 pages

Scientific paper

We study geometry on real gerbes in the spirit of Cheeger-Simons theory. The
concepts of adaptations and holonomy forms are introduced for flat connections
on real gerbes. Their relations to complex gerbes with connections are
presented, as well as results in loop and map spaces.

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