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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 BCx bundles.
|Glasgow Author(s) Enlighten ID:||Stevenson, Dr Daniel|
|Authors:||Murray, M.K., and Stevenson, D.|
|Subjects:||Q Science > QA Mathematics|
|College/School:||College of Science and Engineering > School of Mathematics and Statistics > Mathematics|
|Journal Name:||Journal of the London Mathematical Society|
|Journal Abbr.:||J. London Math. Soc.|