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Results tagged with gerbes
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user 1921
"Gerbe" is a construct in homological algebra and topology. They can be seen as a generalization of principal bundles to the setting of 2-categories. "Gerbe" is a French (and archaic English) word that literally means wheat sheaf. Gerbes were introduced by Jean Giraud (Giraud 1971) following ideas of Alexandre Grothendieck as a tool for non-commutative cohomology in degree 2.
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Gerbes for a cyclic group. (or maybe G_m too)
A bit of a response to your "Commentary":
As you point out, the failure of your construction to hit all $\mu_n$-gerbes is governed by the exact sequence
$H^1(X, \mathbb{G}_m) \to H^2(X, \mu_n) \to H^ …
- 2,135