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

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

2001-09-21

arxiv.org/abs/math/0109161v2

Geom. Topol. 5(2001) 885-893

Mathematics

Metric Geometry

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

Scientific paper

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.

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