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Bundle gerbes: stable isomorphism and local theory

Michael K. Murray·Daniel Stevenson
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Abstract

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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Michael K. Murray, Daniel Stevenson. 1999-08-26. Bundle gerbes: stable isomorphism and local theory. https://arxiv.org/abs/math/9908135

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