Poisson Geometry Related to Atiyah Sequences
We construct and investigate a short exact sequence of Poisson VB-groupoids which is canonically related to the Atiyah sequence of a G-principal bundle P. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid T*P×T*P/G⇉T*P/G. The semidirect product case,...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2018 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209459 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Poisson Geometry Related to Atiyah Sequences / K. Mackenzie, A. Odzijewicz, A. Sliżewska // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862618693777752064 |
|---|---|
| author | Mackenzie, K. Odzijewicz, A. Sliżewska, A. |
| author_facet | Mackenzie, K. Odzijewicz, A. Sliżewska, A. |
| citation_txt | Poisson Geometry Related to Atiyah Sequences / K. Mackenzie, A. Odzijewicz, A. Sliżewska // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct and investigate a short exact sequence of Poisson VB-groupoids which is canonically related to the Atiyah sequence of a G-principal bundle P. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid T*P×T*P/G⇉T*P/G. The semidirect product case, which is important for applications in Hamiltonian mechanics, is also discussed.
|
| first_indexed | 2025-12-07T13:14:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209459 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:14:19Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mackenzie, K. Odzijewicz, A. Sliżewska, A. 2025-11-21T19:14:21Z 2018 Poisson Geometry Related to Atiyah Sequences / K. Mackenzie, A. Odzijewicz, A. Sliżewska // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 58H05; 22A22; 53D17 arXiv: 1506.03216 https://nasplib.isofts.kiev.ua/handle/123456789/209459 https://doi.org/10.3842/SIGMA.2018.005 We construct and investigate a short exact sequence of Poisson VB-groupoids which is canonically related to the Atiyah sequence of a G-principal bundle P. Our results include a description of the structure of the symplectic leaves of the Poisson groupoid T*P×T*P/G⇉T*P/G. The semidirect product case, which is important for applications in Hamiltonian mechanics, is also discussed. We extend our best thanks to the referees, who caught many slips and obscurities. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Poisson Geometry Related to Atiyah Sequences Article published earlier |
| spellingShingle | Poisson Geometry Related to Atiyah Sequences Mackenzie, K. Odzijewicz, A. Sliżewska, A. |
| title | Poisson Geometry Related to Atiyah Sequences |
| title_full | Poisson Geometry Related to Atiyah Sequences |
| title_fullStr | Poisson Geometry Related to Atiyah Sequences |
| title_full_unstemmed | Poisson Geometry Related to Atiyah Sequences |
| title_short | Poisson Geometry Related to Atiyah Sequences |
| title_sort | poisson geometry related to atiyah sequences |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209459 |
| work_keys_str_mv | AT mackenziek poissongeometryrelatedtoatiyahsequences AT odzijewicza poissongeometryrelatedtoatiyahsequences AT slizewskaa poissongeometryrelatedtoatiyahsequences |