Atiyah–Bott fixed-point theorem: Difference between revisions

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Line 55: ==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=~~http~~https://~~www.ams~~projecteuclid.org/~~bull~~journals/~~1966~~bulletin-of-the-american-mathematical-society/volume-72/issue-022/~~S0002~~A-~~9904~~Lefschetz-~~1966~~fixed-~~11483~~point-0formula-for-elliptic-differential-operators/bams/~~home~~1183527784.~~html~~pdf\| 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. Line 63: ==External links== * {{cite web \|first=Loring W. \|last=Tu \|title=The Atiyah-Bott fixed point theorem \|work=The life and works of Raoul Bott \|date=December 21, 2005 \|url=http://brauer.math.harvard.edu/history/bott/bottbio/node18.html }} * {{Cite web \| last1 = Tu \| first1 = Loring W. \| title = On the Genesis of the Woods Hole Fixed Point Theorem \| journal = [[Notices of the American Mathematical Society]] \| volume = 62 \| issue = 10 \| pages = 1200–1206 \| publisher = American Mathematical Society \| ___location = Providence, RI \| date = November 2015 \| url = ~~http~~https://www.ams.org/notices/201510/rnoti-p1200.pdf \|format=PDF}} {{DEFAULTSORT:Atiyah-Bott Fixed-Point Theorem}}