Atiyah–Bott fixed-point theorem: Difference between revisions

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==References==
*{{Citation|first1=Michael F.|last1= Atiyah|author1-link=Michael Atiyah| first2= Raoul|last2= Bott | author2-link=Raoul Bott|title=A Lefschetz Fixed Point Formula for Elliptic Differential Operators|journal= [[Bulletin of the American Mathematical Society]] |volume=72 |year=1966|pages= 245–50
|url=https://www.amsprojecteuclid.org/bulljournals/1966bulletin-of-the-american-mathematical-society/volume-72/issue-022/S0002A-9904Lefschetz-1966fixed-11483point-0formula-for-elliptic-differential-operators/bams/home1183527784.htmlpdf| doi=10.1090/S0002-9904-1966-11483-0|issue=2 |doi-access=free}}. This states a theorem calculating the Lefschetz number of an endomorphism of an elliptic complex.
*{{Citation|first1=Michael F.|last1= Atiyah|author1-link=Michael Atiyah|first2= Raoul|last2= Bott |author2-link=Raoul Bott| title=A Lefschetz Fixed Point Formula for Elliptic Complexes: I |journal=[[Annals of Mathematics]] | series = Second Series|volume= 86|issue=2 |year= 1967|pages= 374–407|doi=10.2307/1970694|jstor=1970694}} and {{citation|first1=Michael F.|last1= Atiyah|author1-link=Michael Atiyah|first2= Raoul|last2= Bott |author2-link=Raoul Bott| title=A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications
|journal=[[Annals of Mathematics]] | series = Second Series|volume=88|issue=3|year= 1968|pages=451–491|doi=10.2307/1970721|jstor=1970721}}. These gives the proofs and some applications of the results announced in the previous paper.