Bundle Gerbes: Stable Isomorphism and Local Theory

@article{Murray1999BundleGS,
  title={Bundle Gerbes: Stable Isomorphism and Local Theory},
  author={Michael K. Murray and Danny Stevenson},
  journal={Journal of the London Mathematical Society},
  year={1999},
  volume={62}
}
The notion of stable isomorphism of bundle gerbes is considered. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective correspondence with H3(M, Z). Stable isomorphism sheds light on the local theory of bundle gerbes and enables a classifying theory for bundle gerbes to be developed using results of Gajer on BC× bundles. 
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