58 citations · 304 across the 22 of their papers we have counts for
22 papers
Scalar curvature, flat Borromean rings, and the 3-body problem
Michael Atiyah
This paper explains unexpected links between the 3 topics in the title and frames them in a large canvas.
Twistor theory at fifty: from contour integrals to twistor strings
Michael Atiyah, Maciej Dunajski, Lionel Mason
We review aspects of twistor theory, its aims and achievements spanning thelast five decades. In the twistor approach, space--time is secondary with events being derived objects th…
Geometric Models of Helium
Michael F. Atiyah
A previous paper (M.F.Atiyah and N.S.Manton, Complex geometry of nuclei and atoms, arXiv:1609.02816) modelled atoms and their isotopes by complex algebraic surfaces, with the proje…
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…
Anyons in Geometric Models of Matter
Michael Atiyah, Matilde Marcolli
We show that the "geometric models of matter" approach proposed by the first author can be used to construct models of anyon quasiparticles with fractional quantum numbers, using 4…
Complex Geometry of Nuclei and Atoms
M. F. Atiyah, N. S. Manton
We propose a new geometrical model of matter, in which neutral atoms are modelled by compact, complex algebraic surfaces. Proton and neutron numbers are determined by a surface's C…