Journal article

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

M Eastwood, P Norbury

Geometry and Topology | GEOMETRY & TOPOLOGY PUBLICATIONS | Published : 2001

Abstract

From any configuration of finitely many points in Euclidean three-space, Atiyah constructed a determinant and conjectured that it was always non-zero. In this article we prove the conjecture for the case of four points.

University of Melbourne Researchers

Grants

Awarded by National Science Foundation


Funding Acknowledgements

Support from the Australian Research Council and the Mathematical Sciences Research Institute is gratefully acknowledged. Research at MSRI is supported in part by NSF grant DMS-9701755.