Geometry & Topology, Vol. 5 (2001) Paper no. 27, pages 885--893.

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

Michael Eastwood, Paul Norbury

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

AMS subject classification. Primary: 51M04. Secondary: 70G25.

DOI: 10.2140/gt.2001.5.885

E-print: arXiv:math.MG/0109161

Submitted to GT on 26 October 2001. (Revised 10 November 2001.) Paper accepted 26 November 2001. Paper published 26 November 2001.

Notes on file formats

Michael Eastwood, Paul Norbury
Pure Mathematics Department
Adelaide University
South Australia 5005

GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to