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arXiv · 2312.17541

Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds

Murilo do Nascimento Luiz·Igor Mencattini·Marco Pedroni
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Abstract

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.

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Murilo do Nascimento Luiz, Igor Mencattini, Marco Pedroni. 2023-12-29. Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds. https://doi.org/10.1007/s00574-024-00400-z

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