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

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 2000

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

Michael Eastwood
Pure Mathematics Department Adelaide University South Australia 5005 Australia

Paul Norbury
Pure Mathematics Department Adelaide University South Australia 5005 Australia

Volume 5, issue 2 (2001)

Michael Eastwood and Paul Norbury