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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862695500030935040 |
|---|---|
| author | Bou Khuzam, M.N. Johnson, M.J. |
| author_facet | Bou Khuzam, M.N. Johnson, M.J. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:24:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146602 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:24:56Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bou Khuzam, M.N. Johnson, M.J. 2019-02-10T09:51:41Z 2019-02-10T09:51:41Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146602 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Conjectures Regarding the 4-Point Atiyah Determinant Article published earlier |
| spellingShingle | On the Conjectures Regarding the 4-Point Atiyah Determinant Bou Khuzam, M.N. Johnson, M.J. |
| title | 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_short | On the Conjectures Regarding the 4-Point Atiyah Determinant |
| title_sort | on the conjectures regarding the 4-point atiyah determinant |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146602 |
| work_keys_str_mv | AT boukhuzammn ontheconjecturesregardingthe4pointatiyahdeterminant AT johnsonmj ontheconjecturesregardingthe4pointatiyahdeterminant |