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For questions about sheaves on a topological space.

4 votes
Accepted

What extra structure does the group of automorphisms of a torsor carry?

I am not sure what kind of criterion you are after. You can give an answer in terms of cocycles or an answer in terms of killing an obstruction. Briefly, if $\mathcal{G}$ is a bundle of groups on $Y$ …
Tony Pantev's user avatar
  • 6,239
7 votes
Accepted

Is this Sequences of Complexes of Sheaves Exact?

This is not related to sheafification. The sheaf $\mathbb{C}^{*}$ of locally constant functions on $M$ is already a sheaf, so sheafification will not change it. This sequence is not an exact sequ …
Tony Pantev's user avatar
  • 6,239