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Symplectic invariants of typical degenerate orbits of integrable systemsтезисы доклада Тезисы
- Автор: Kudryavtseva Elena
- Сборник: International Conference on Finite Dimensional Integrable Systems in Geometry and Math Physics FDIS 2019
- Тезисы
- Год издания: 2019
- Место издания: School of Mathematical sciences, Shanghai Jiao Tong University Shanghai, China
- Первая страница: 20
- Последняя страница: 21
- Аннотация: We show that, in contrast to non-degenerate singular orbits (of elliptic, hyperbolic and focus-focus types), there exist parabolic orbits which are locally fibrewise diffeomorphic, but not symplectomorphic. Furthermore, all symplectic invariants of parabolic orbits (with a given resonance) can be expressed in terms of action variables. Finally, we show that the only symplectic semi-local invariant of a cuspidal torus (with a given resonance) is the canonical integer affine structure on the base of the corresponding singular Lagrangian fibration. In other words, cuspidal tori satisfy a general principle holding for many non-degenerate singular fibres (Delzant 1988; Dufour, Molino and Toulet 1994; Dullin and Vu Ngoc 2007; Vu Ngoc 2003).
- Добавил в систему: Кудрявцева Елена Александровна
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | Сборник тезисов конференции | FDIS_2019-Final_program.pdf | 3,0 МБ | 20 августа 2019 [KudryavtsevaEA] |