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BUNDLE GERBES: STABLE ISOMORPHISM AND LOCAL THEORY

Published online by Cambridge University Press:  19 February 2001

MICHAEL K. MURRAY  and
DANIEL STEVENSON
MICHAEL K. MURRAY
Affiliation:
Department of Pure Mathematics, University of Adelaide, Adelaide, SA 5005, Australia; mmurray@maths.adelaide.edu.au, dstevens@maths.adelaide.edu.au
DANIEL STEVENSON
Affiliation:
Department of Pure Mathematics, University of Adelaide, Adelaide, SA 5005, Australia; mmurray@maths.adelaide.edu.au, dstevens@maths.adelaide.edu.au
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Abstract

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 B[Copf ]× bundles.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 925 - 937
Copyright
The London Mathematical Society 2000

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