= Raoul Bott
{c}
<Raoul Bott> made fundamental contributions to <topology> and <differential geometry>, with applications to <Lie groups> and differential operators. Harvard's departmental memorial documents this range of work.https://people.math.harvard.edu/history/bott/index.html[Institutional memorial and research description]{ref}
With <Michael Atiyah>, he developed a <holomorphic Lefschetz fixed-point formula> for elliptic complexes. In the holomorphic setting, global traces on cohomology become a sum of local contributions from nondegenerate fixed points. This connects a map's behavior at isolated points with its action on global solution spaces.<A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications by M. F. Atiyah and R. Bott>[Theorem 4.12, pp. 458–459]{ref}
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