Morita equivalence of Nijenhuis structures
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914461768482816 |
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| author | Rodríguez, Andrés I. |
| author_facet | Rodríguez, Andrés I. |
| contents | We introduce Morita equivalence for Nijenhuis groupoids and for their infinitesimal counterparts, establishing a global-to-infinitesimal correspondence under the Lie functor. A special case is that of holomorphic Lie groupoids and algebroids. We use our framework to enhance the known Morita equivalences for quasi-symplectic groupoids and Dirac structures with compatible Nijenhuis structures. Finally, subject to certain conditions, we prove that the modular class of Poisson-Nijenhuis manifolds is invariant under Morita equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20414 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Morita equivalence of Nijenhuis structures Rodríguez, Andrés I. Differential Geometry Symplectic Geometry We introduce Morita equivalence for Nijenhuis groupoids and for their infinitesimal counterparts, establishing a global-to-infinitesimal correspondence under the Lie functor. A special case is that of holomorphic Lie groupoids and algebroids. We use our framework to enhance the known Morita equivalences for quasi-symplectic groupoids and Dirac structures with compatible Nijenhuis structures. Finally, subject to certain conditions, we prove that the modular class of Poisson-Nijenhuis manifolds is invariant under Morita equivalence. |
| title | Morita equivalence of Nijenhuis structures |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2602.20414 |