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== What vector bundles? ==
The article refers to vector bundles E<sub>j</sub> as follows in the '''Formulation''' section:
"Further data needed relates to the elliptic complex of vector bundles ''E''<sub>''j''</sub>, namely a [[bundle map]] from''
:φ<sub>''j''</sub>:''f''<sup>−1</sup> ''E''<sub>''j''</sub> → ''E''<sub>''j''</sub>''
for each ''j'', such that the resulting maps on [[section of a vector bundle|sections]] give rise to an [[endomorphism of an elliptic complex|endomorphism of the elliptic complex]] ''T''."
But nowhere is it stated '''which''' vector bundles are being discussed here, or '''what''' "elliptic complex" is being discussed.
Later in this '''Formulation''' section, it reads:
"Specializing the Atiyah–Bott theorem to the de Rham complex of smooth differential forms yields the original Lefschetz fixed-point formula."
But one cannot specialize something unless it has been stated first in more generality. I hope someone knowledgeable on this subject can fix this serious omission, so that the article might make sense.[[User:Daqu|Daqu]] ([[User talk:Daqu|talk]]) 17:51, 21 October 2016 (UTC)
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