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From any configuration of finitely many points in Euclidean three-space,Atiyah constructed a determinant and conjectured that it was always non-zero.Atiyah and Sutcliffe (hep-th/0105179) amass a great deal of evidence it itsfavour. In this article we prove the conjecture for the case of four points.

A proof of Atiyah’s conjecture on configurations of four points in Euclidean three-space