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Atiyah Bott localisation applied to Euler characteristic

So you are saying that, we need to compute the equivariant Euler class of a complex line bundle over a point and since the equivariant first chern class is the same as this, the exponential sheaf sequ …
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Atiyah Bott localisation applied to Euler characteristic

Suppose we have a torus action on a compact oriented manifold M. Assume the action has isolated fixed points. Why is it that the equivariant Euler class of the normal bundle at the fixed point (i.e. t …
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