Mazen N. Bou Khuzam, Michael J. Johnson, “On the Conjectures Regarding the 4-Point Atiyah Determinant”, SIGMA, 2014, Volume 10,070, 9 pp.

This article is cited in 1 paper

On the Conjectures Regarding the 4-Point Atiyah Determinant

Mazen N. Bou Khuzam^a, Michael J. Johnson^b

^a American University of Iraq, Suleimaniya, Street 10, Quarter 410, Ablakh area Building no. 7 Sul, Iraq
^b Department of Mathematics, Faculty of Science, Kuwait University, Kuwait

Abstract: For the case of 4 points in Euclidean space, we present a computer aided proof of Conjectures II and III made by Atiyah and Sutcliffe regarding Atiyah's determinant along with an elegant factorization of the square of the imaginary part of Atiyah's determinant.

Keywords: Atiyah determinant; Atiyah–Sutcliffe conjectures.

MSC: 51K05; 51P99

Received: January 15, 2014; in final form June 23, 2014; Published online July 5, 2014

Language: English

DOI: 10.3842/SIGMA.2014.070