Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of Poisson-Nijenhuis manifolds. A review of the s...
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| Дата: | 2008 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149002 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 127 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149002 |
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dspace |
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irk-123456789-1490022019-02-20T01:25:55Z Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey Kosmann-Schwarzbach, Y. After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of Poisson-Nijenhuis manifolds. A review of the spinor approach to the modular class concludes the paper. 2008 Article Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 127 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B70; 17B56; 17B66; 53C15; 58A10; 15A66; 17B81; 17-02; 53-02; 58-02 http://dspace.nbuv.gov.ua/handle/123456789/149002 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 |
After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of Poisson-Nijenhuis manifolds. A review of the spinor approach to the modular class concludes the paper. |
| format |
Article |
| author |
Kosmann-Schwarzbach, Y. |
| spellingShingle |
Kosmann-Schwarzbach, Y. Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kosmann-Schwarzbach, Y. |
| author_sort |
Kosmann-Schwarzbach, Y. |
| title |
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey |
| title_short |
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey |
| title_full |
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey |
| title_fullStr |
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey |
| title_full_unstemmed |
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey |
| title_sort |
poisson manifolds, lie algebroids, modular classes: a survey |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149002 |
| citation_txt |
Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 127 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT kosmannschwarzbachy poissonmanifoldsliealgebroidsmodularclassesasurvey |
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2023-05-20T17:31:59Z |
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2023-05-20T17:31:59Z |
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1796153517351632896 |