Editing Michael Atiyah (section)

==References==
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===Sources===
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*{{citation | last1=Boyer | first1=Charles P. | last2=Hurtubise | first2=J. C. |author2-link=Jacques Hurtubise (mathematician) | last3=Mann | first3=B. M. | last4=Milgram | first4=R. J. | title=The topology of instanton moduli spaces. I. The Atiyah–Jones conjecture | mr=1217348 | year=1993 | journal=[[Annals of Mathematics]]| series = Second Series | issn=0003-486X | volume=137 | issue=3 | pages=561–609|jstor=2946532 | doi=10.2307/2946532 }}
*{{citation | last1=Barth | first1=Wolf P. | last2=Hulek | first2=Klaus | last3=Peters | first3=Chris A.M. | last4=Van de Ven | first4=Antonius | title=Compact Complex Surfaces | isbn=978-3-540-00832-3 | year=2004|page=334 | publisher=Springer | location=Berlin}}
*{{citation|first=Israel M. |last=Gel'fand|title=On elliptic equations|journal=Russ. Math. Surv.|volume= 15 |issue=3|year=1960|pages= 113–123|doi=10.1070/rm1960v015n03ABEH004094|bibcode = 1960RuMaS..15..113G }}. Reprinted in volume 1 of his collected works, p.&nbsp;65–75, {{ISBN|0-387-13619-3}}. On page 120 Gel'fand suggests that the index of an elliptic operator should be expressible in terms of topological data.
*{{citation | last1=Harder | first1=G. | last2=Narasimhan | first2=M. S. | title=On the cohomology groups of moduli spaces of vector bundles on curves | doi=10.1007/BF01357141 | mr=0364254 | year=1975 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=212 | pages=215–248 | issue=3 | s2cid=117851906 | url=http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN235181684_0212&DMDID=DMDLOG_0041&L=1 | access-date=30 September 2013 | archive-url=https://web.archive.org/web/20160305005944/http://gdz.sub.uni-goettingen.de/index.php?id=11&PPN=PPN235181684_0212&DMDID=DMDLOG_0041&L=1 | archive-date=5 March 2016 }}
*{{citation | last1=Matsuki | first1=Kenji | title=Introduction to the Mori program | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Universitext | isbn=978-0-387-98465-0 | mr=1875410 | year=2002 | doi=10.1007/978-1-4757-5602-9}}
*{{citation|first=Richard S. |last=Palais |year=1965|title=Seminar on the Atiyah–Singer Index Theorem| series=Annals of Mathematics Studies|volume=57| isbn=978-0-691-08031-4|publisher=Princeton Univ Press|location=S.l.}}. This describes the original proof of the index theorem. (Atiyah and Singer never published their original proof themselves, but only improved versions of it.)
*{{citation|last=Segal|first=Graeme B.|year=1968|author-link=Graeme Segal|title=The representation ring of a compact Lie group|journal=Inst. Hautes Études Sci. Publ. Math.|volume=34|issue=1 |pages=113–128|url=http://www.numdam.org/item?id=PMIHES_1968__34__113_0|doi=10.1007/BF02684592|s2cid=55847918}}.
*{{citation|editor1-first=Shing-Tung|editor1-last=Yau|editor2-first=Raymond H.|editor2-last=Chan|title=Sir Michael Atiyah: a great mathematician of the twentieth century|publisher=International Press|mr=1701915|url=http://www.intlpress.com/AJM/AJM-v03.php|year=1999|journal=Asian J. Math.|volume=3|issue=1|pages=1–332|isbn=978-1-57146-080-6|archive-url=https://web.archive.org/web/20080808140555/http://www.intlpress.com/AJM/AJM-v03.php|archive-date=8 August 2008}}.
*{{citation|isbn=978-1-57146-120-9|editor1-first=Shing-Tung|editor1-last=Yau|title=The Founders of Index Theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer|url=http://www.intlpress.com/books/FoundersIndexTheory.php|archive-url=https://web.archive.org/web/20060207181013/http://www.intlpress.com/books/FoundersIndexTheory.php|archive-date=7 February 2006|publisher=International Press|page=358|year=2005}}.
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