Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914884611997696 |
|---|---|
| author | Qin, Yingdi |
| author_facet | Qin, Yingdi |
| contents | Generalized complex geometry was classically formulated by the language of differential geometry. In this paper, we reformulated a generalized complex manifold as a holomorphic symplectic differentiable formal stack in a homotopical sense. Meanwhile, by developing the machinery for shifted symplectic formal stack, we prove that the coisotropic intersection inherits shifted Poisson structure. Generalized complex branes are also studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry Qin, Yingdi Symplectic Geometry Algebraic Geometry Generalized complex geometry was classically formulated by the language of differential geometry. In this paper, we reformulated a generalized complex manifold as a holomorphic symplectic differentiable formal stack in a homotopical sense. Meanwhile, by developing the machinery for shifted symplectic formal stack, we prove that the coisotropic intersection inherits shifted Poisson structure. Generalized complex branes are also studied. |
| title | Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry |
| topic | Symplectic Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2407.15598 |