Obstructions for Symplectic Lie Algebroids
Several types of generically nondegenerate Poisson structures can be effectively studied as symplectic structures on naturally associated Lie algebroids. Relevant examples of this phenomenon include log-, elliptic, ᵏ-, scattering, and elliptic-log Poisson structures. In this paper, we discuss topol...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
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| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211098 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Obstructions for Symplectic Lie Algebroids. Ralph L. Klaasse. SIGMA 16 (2020), 121, 13 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | Several types of generically nondegenerate Poisson structures can be effectively studied as symplectic structures on naturally associated Lie algebroids. Relevant examples of this phenomenon include log-, elliptic, ᵏ-, scattering, and elliptic-log Poisson structures. In this paper, we discuss topological obstructions to the existence of such Poisson structures, obtained through the characteristic classes of their associated symplectic Lie algebroids. In particular, we obtain the full obstructions for surfaces to carry such Poisson structures.
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| ISSN: | 1815-0659 |