Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 070, 9 pages      arXiv:1401.2787

On the Conjectures Regarding the 4-Point Atiyah Determinant

Mazen N. Bou Khuzam a and 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

Received January 15, 2014, in final form June 23, 2014; Published online July 05, 2014

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.

Key words: Atiyah determinant; Atiyah-Sutcliffe conjectures.

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