On the Conjectures Regarding the 4-Point Atiyah Determinant
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.
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| Date: | 2014 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146602 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Conjectures Regarding the 4-Point Atiyah Determinant / M.N. Bou Khuzam, M.J. Johnson // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1466022019-02-11T01:24:04Z On the Conjectures Regarding the 4-Point Atiyah Determinant Bou Khuzam, M.N. Johnson, M.J. 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. 2014 Article On the Conjectures Regarding the 4-Point Atiyah Determinant / M.N. Bou Khuzam, M.J. Johnson // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 6 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 51K05; 51P99 DOI:10.3842/SIGMA.2014.070 http://dspace.nbuv.gov.ua/handle/123456789/146602 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Bou Khuzam, M.N. Johnson, M.J. |
| spellingShingle |
Bou Khuzam, M.N. Johnson, M.J. On the Conjectures Regarding the 4-Point Atiyah Determinant Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bou Khuzam, M.N. Johnson, M.J. |
| author_sort |
Bou Khuzam, M.N. |
| title |
On the Conjectures Regarding the 4-Point Atiyah Determinant |
| title_short |
On the Conjectures Regarding the 4-Point Atiyah Determinant |
| title_full |
On the Conjectures Regarding the 4-Point Atiyah Determinant |
| title_fullStr |
On the Conjectures Regarding the 4-Point Atiyah Determinant |
| title_full_unstemmed |
On the Conjectures Regarding the 4-Point Atiyah Determinant |
| title_sort |
on the conjectures regarding the 4-point atiyah determinant |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146602 |
| citation_txt |
On the Conjectures Regarding the 4-Point Atiyah Determinant / M.N. Bou Khuzam, M.J. Johnson // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 6 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT boukhuzammn ontheconjecturesregardingthe4pointatiyahdeterminant AT johnsonmj ontheconjecturesregardingthe4pointatiyahdeterminant |
| first_indexed |
2025-07-11T00:18:40Z |
| last_indexed |
2025-07-11T00:18:40Z |
| _version_ |
1837307672892801024 |