Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917677307527168 |
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| author | Luiz, Murilo do Nascimento Mencattini, Igor Pedroni, Marco |
| author_facet | Luiz, Murilo do Nascimento Mencattini, Igor Pedroni, Marco |
| contents | We show how to deform a Poisson quasi-Nijenhuis manifold by means of a closed 2-form. Then we interpret this procedure in the context of quasi-Lie bialgebroids, as a particular case of the so called twisting of a quasi-Lie bialgebroid. Finally, we frame our result in the setting of Courant algebroids and Dirac structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17541 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds Luiz, Murilo do Nascimento Mencattini, Igor Pedroni, Marco Differential Geometry Mathematical Physics We show how to deform a Poisson quasi-Nijenhuis manifold by means of a closed 2-form. Then we interpret this procedure in the context of quasi-Lie bialgebroids, as a particular case of the so called twisting of a quasi-Lie bialgebroid. Finally, we frame our result in the setting of Courant algebroids and Dirac structures. |
| title | Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2312.17541 |