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arXiv · 2602.20414

Morita equivalence of Nijenhuis structures

Andrés I. Rodríguez
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Abstract

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.

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Andrés I. Rodríguez. 2026-02-23. Morita equivalence of Nijenhuis structures. https://arxiv.org/abs/2602.20414

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