A Journey Between Two Curves

A Journey Between Two Curves

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 Hitchi...

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Дата:2007
Автор: Cherkis, S.A.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2007
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/147995
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:A Journey Between Two Curves / S.A. Cherkis // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1479952019-02-21T20:01:05Z A Journey Between Two Curves Cherkis, S.A. 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. 2007 Article 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 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 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.
format Article
author Cherkis, S.A.
spellingShingle Cherkis, S.A.
A Journey Between Two Curves
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Cherkis, S.A.
author_sort Cherkis, S.A.
title A Journey Between Two Curves
title_short A Journey Between Two Curves
title_full A Journey Between Two Curves
title_fullStr A Journey Between Two Curves
title_full_unstemmed A Journey Between Two Curves
title_sort journey between two curves
publisher Інститут математики НАН України
publishDate 2007
url http://dspace.nbuv.gov.ua/handle/123456789/147995
citation_txt A Journey Between Two Curves / S.A. Cherkis // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT cherkissa ajourneybetweentwocurves
AT cherkissa journeybetweentwocurves
first_indexed 2023-05-20T17:28:53Z
last_indexed 2023-05-20T17:28:53Z
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