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Results tagged with gerbes
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user 19926
"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.
3
votes
holonomy of connection on gerbes
Take a closed surface, $\Sigma$, and map it into your manifold. If $\Sigma \hookrightarrow U_{i}$, then you can simply integrate $F_{i}$ over $\Sigma$ and obtain the holonomy in $S^1$, evaluated on $\ …
- 1,466
3
votes
Accepted
Twisting an object P by an H-Torsor I
I am going to put as much detail as possible in this answer without writing any diagrams (too many diagrams!).
In the Sketch of the Proof as outlined above, I was using local homeomorphisms instead o …
- 1,466