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Apr 16, 2015 at 8:58 history edited Konrad Waldorf CC BY-SA 3.0
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Apr 16, 2015 at 8:57 comment added Konrad Waldorf If $E$ is a central extension of $\pi_1(X)$ by $\mathbb{Z}$, we have the class in $H^2(X,\mathbb{Z})$ represented by a gerbe with structure group $\mathbb{Z}$, rather than by a principal bundle with structure group $\mathbb{C}^{\times}$.
Apr 16, 2015 at 8:50 history answered Konrad Waldorf CC BY-SA 3.0