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arXiv · 2505.16605

Manin triples for double Lie bialgebroids

Ana Carolina Mançur
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Abstract

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.

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Ana Carolina Mançur. 2025-05-22. Manin triples for double Lie bialgebroids. https://doi.org/10.1016/j.geomphys.2025.105710

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