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

Abstract

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 its favour. In this article we prove the conjecture for the case of four points.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper27.abs.html

References in corpus (1)

• The Geometry of Point Particles

Cited by in corpus (6)

• Verification and Strengthening of the Atiyah--Sutcliffe Conjectures for Several Types of Configurations
• Atiyah-Sutcliffe Conjectures for Almost Collinear Configurations and Some New Conjectures for Symmetric Functions
• A new proof of Atiyah's conjecture on configurations of four points
• On the Conjectures Regarding the 4-Point Atiyah Determinant
• Finite graphs and configurations of points
• Constructions of $SU(2)$ and Weyl equivariant maps for all classical groups