Manin triples for double Lie bialgebroids
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918210868084736 |
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| author | Mançur, Ana Carolina |
| author_facet | Mançur, Ana Carolina |
| contents | We verify that LA-Courant algebroids provide the Manin triple framework for double Lie bialgebroids. Specifically, we establish a correspondence between double Lie bialgebroids and LA-Manin triples, i.e., LA-Courant algebroids equipped with a pair of complementary LA-Dirac structures. As an application, LA-Courant algebroids and CA-groupoids given by Drinfeld doubles are shown to correspond via integration and differentiation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16605 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Manin triples for double Lie bialgebroids Mançur, Ana Carolina Differential Geometry We verify that LA-Courant algebroids provide the Manin triple framework for double Lie bialgebroids. Specifically, we establish a correspondence between double Lie bialgebroids and LA-Manin triples, i.e., LA-Courant algebroids equipped with a pair of complementary LA-Dirac structures. As an application, LA-Courant algebroids and CA-groupoids given by Drinfeld doubles are shown to correspond via integration and differentiation. |
| title | Manin triples for double Lie bialgebroids |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.16605 |