A note on bundle gerbes and infinite-dimensionality

Murray, M.K. and Stevenson, D. (2011) A note on bundle gerbes and infinite-dimensionality. Journal of the Australian Mathematical Society, 90(1), pp. 81-92. (doi: 10.1017/S1446788711001078)

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Abstract

Let (P, Y) be a bundle gerbe over a fibre bundle Y -> M. We show that if M is simply-connected and the fibres of Y -> M are connected and finite-dimensional then the Dixmier--Douady class of (P, Y) is torsion. This corrects and extends an earlier result of the first author.

Item Type:Articles
Status:Published
Refereed:Yes
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 Australian Mathematical Society
Publisher:Cambridge University Press on behalf of the Australian Mathematical Society
ISSN:1446-7887
ISSN (Online):1446-8107
Published Online:22 March 2011
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