Singular Reduction of Generalized Complex Manifolds
In this paper, we develop results in the direction of an analogue of Sjamaar and Lerman's singular reduction of Hamiltonian symplectic manifolds in the context of reduction of Hamiltonian generalized complex manifolds (in the sense of Lin and Tolman). Specifically, we prove that if a compact Li...
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| Дата: | 2010 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146509 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Singular Reduction of Generalized Complex Manifolds / T.E. Goldberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1465092019-02-10T01:24:44Z Singular Reduction of Generalized Complex Manifolds Goldberg, T.E. In this paper, we develop results in the direction of an analogue of Sjamaar and Lerman's singular reduction of Hamiltonian symplectic manifolds in the context of reduction of Hamiltonian generalized complex manifolds (in the sense of Lin and Tolman). Specifically, we prove that if a compact Lie group acts on a generalized complex manifold in a Hamiltonian fashion, then the partition of the global quotient by orbit types induces a partition of the Lin-Tolman quotient into generalized complex manifolds. This result holds also for the reduction of Hamiltonian generalized Kähler manifolds. 2010 Article Singular Reduction of Generalized Complex Manifolds / T.E. Goldberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D20; 53D18; 53C15 DOI:10.3842/SIGMA.2010.081 http://dspace.nbuv.gov.ua/handle/123456789/146509 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 |
In this paper, we develop results in the direction of an analogue of Sjamaar and Lerman's singular reduction of Hamiltonian symplectic manifolds in the context of reduction of Hamiltonian generalized complex manifolds (in the sense of Lin and Tolman). Specifically, we prove that if a compact Lie group acts on a generalized complex manifold in a Hamiltonian fashion, then the partition of the global quotient by orbit types induces a partition of the Lin-Tolman quotient into generalized complex manifolds. This result holds also for the reduction of Hamiltonian generalized Kähler manifolds. |
| format |
Article |
| author |
Goldberg, T.E. |
| spellingShingle |
Goldberg, T.E. Singular Reduction of Generalized Complex Manifolds Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Goldberg, T.E. |
| author_sort |
Goldberg, T.E. |
| title |
Singular Reduction of Generalized Complex Manifolds |
| title_short |
Singular Reduction of Generalized Complex Manifolds |
| title_full |
Singular Reduction of Generalized Complex Manifolds |
| title_fullStr |
Singular Reduction of Generalized Complex Manifolds |
| title_full_unstemmed |
Singular Reduction of Generalized Complex Manifolds |
| title_sort |
singular reduction of generalized complex manifolds |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146509 |
| citation_txt |
Singular Reduction of Generalized Complex Manifolds / T.E. Goldberg // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT goldbergte singularreductionofgeneralizedcomplexmanifolds |
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2023-05-20T17:24:57Z |
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2023-05-20T17:24:57Z |
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1796153238016229376 |