
SIGMA 10 (2014), 070, 9 pages arXiv:1401.2787
https://doi.org/10.3842/SIGMA.2014.070
On the Conjectures Regarding the 4Point 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
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.
Key words:
Atiyah determinant; AtiyahSutcliffe conjectures.
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