A Journey Between Two Curves
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Journey Between Two Curves
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| Creator |
Cherkis, S.A.
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| Description |
A typical solution of an integrable system is described in terms of a holomorphic curve and a line bundle over it. The curve provides the action variables while the time evolution is a linear flow on the curve's Jacobian. Even though the system of Nahm equations is closely related to the Hitchin system, the curves appearing in these two cases have very different nature. The former can be described in terms of some classical scattering problem while the latter provides a solution to some Seiberg-Witten gauge theory. This note identifies the setup in which one can formulate the question of relating the two curves.
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| Date |
2019-02-16T16:18:49Z
2019-02-16T16:18:49Z 2007 |
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| Type |
Article
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| Identifier |
A Journey Between Two Curves / S.A. Cherkis // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 53C28; 53C80; 70H06; 81T30 http://dspace.nbuv.gov.ua/handle/123456789/147995 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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