Geometry & Topology 5 (2001) 885–893

DOI: 10.2140/gt.2001.5.885

arXiv: math.MG/0109161

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.

Keywords

Atiyah's conjecture, configuration space

Mathematical Subject Classification

Primary: 51M04

Secondary: 70G25

References

Forward citations

Publication

Received: 26 October 2001
Revised: 10 November 2001
Accepted: 26 November 2001
Published: 26 November 2001
Proposed: Walter Neumann
Seconded: Ralph Cohen, Steven Ferry

Authors