English

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

Metric Geometry 2014-11-11 v2

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.

Keywords

Cite

@article{arxiv.math/0109161,
  title  = {A proof of Atiyah's conjecture on configurations, of four points in Euclidean three-space},
  author = {Michael Eastwood and Paul Norbury},
  journal= {arXiv preprint arXiv:math/0109161},
  year   = {2014}
}

Comments

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