58 citations · 304 across the 22 of their papers we have counts for
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math.DG2016★ 6 cited
The Non-Existent Complex 6-Sphere
Michael Atiyah
The possible existence of a complex structure on the 6-sphere has been a famous unsolved problem for over 60 years. In that time many "solutions" have been put forward, in both dir…
math.DG2012★ 50 cited
Curvature, Cones, and Characteristic Numbers
Michael Atiyah, Claude LeBrun
We study Einstein metrics on smooth compact 4-manifolds with an edge-cone singularity of specified cone angle along an embedded 2-manifold. To do so, we first derive modified versi…
math.DG2002★ 7 cited
Projective planes, Severi varieties and spheres
Michael Atiyah, Jurgen Berndt
A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the…