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Results tagged with gerbes
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user 582
"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)
As for interesting examples of $\mu_n$ gerbes, look at the moduli stack of stable $G$ bundles on an algebraic curve for $G$ with center $\mu_n$ (eg $SL_n$). …
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7
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Accepted
What do gerbes and complex powers of line bundles have to do with each other?
The latter classifies $\mathbb{C}^\times$ gerbes, ie gerbes with a flat connection (usual gerbes can be described by $H^2(X,\mathcal{O}^\times)$). … B&D talk in terms of crystalline $\mathcal{O}^\times$ gerbes rather than $\mathbb{C}^\times$ gerbes but the story is the same. …
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