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11
votes
Accepted
The Gauss-Bonnet theorem for Sheaves
There is an answer in the case of constructible sheaves. The whole story can be found in Kashiwara and Shapira's book "Sheaves on Manifolds" Chapters VIII and IX.
I will try to summarize this rather …
1
vote
On the notion of multiplicity of a fixed point
Note that the fixed points of $f$ can be characterized as the intersection points of the graph of $f$, which is a submanifold of $M\times M$, with the diagonal of $M\times M$
$$\Delta_M=\big\{ (x, …