On the Conjectures Regarding the 4-Point Atiyah Determinant

Abstract

For the case of 4 points in Euclidean space, we present a computer aided proof of Conjectures II and III made by Atiyah and Sutcliffe regarding Atiyah's determinant along with an elegant factorization of the square of the imaginary part of Atiyah's determinant.

References in corpus (2)

• The Geometry of Point Particles
• A proof of Atiyah's conjecture on configurations, of four points in Euclidean three-space

Cited by in corpus (2)

• A new proof of Atiyah's conjecture on configurations of four points
• Constructions of $SU(2)$ and Weyl equivariant maps for all classical groups