Bundle Gerbes: Stable Isomorphism and Local Theory

  title={Bundle Gerbes: Stable Isomorphism and Local Theory},
  author={Michael K. Murray and Danny Stevenson},
  journal={Journal of The London Mathematical Society-second Series},
  • M. Murray, D. Stevenson
  • Published 26 August 1999
  • Mathematics
  • Journal of The London Mathematical Society-second Series
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 H 3 ( 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 B [Copf ] × bundles. 
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