A note on bundle gerbes and infinite-dimensionality

Details A note on bundle gerbes and infinite-dimensionality A note on bundle gerbes and infinite-dimensionality

2010-07-28

arxiv.org/abs/1007.4922v1

Mathematics

Differential Geometry

Scientific paper

Let $(P, Y)$ be a bundle gerbe over a fibre bundle $Y \to M$. We show that if
$M$ is simply-connected and the fibres of $Y \to M$ 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.

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