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Results tagged with gerbes
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user 16702
"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 and Stacks
In particular: Are gerbes on a manifold a special stack on the small site of that manifold? … Is there a fully faithful functor of $2$-categories that sends gerbes over $M$ to stacks over (the small site of) $M$? …
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