Bundle gerbes: stable isomorphism and local theory

Details Bundle gerbes: stable isomorphism and local theory Bundle gerbes: stable isomorphism and local theory

1999-08-26

arxiv.org/abs/math/9908135v1

J.Lond.Math.Soc. 62 (2000) 925-937

Mathematics

Differential Geometry

13 pages, LaTeX

Scientific paper

We consider the notion of stable isomorphism of bundle gerbes. It has the
consequence that the stable isomorphism classes of bundle gerbes over a
manifold M are in bijective correspondence with H^3(M, Z). Stable isomorphism
sheds light on the local theory of bundle gerbes and enables us to develop a
classifying theory for bundle gerbes using results of Gajer on BC^x bundles.

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