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arXiv · 2106.15403

Poisson double structures

Henrique Bursztyn·Alejandro Cabrera·Matias del Hoyo
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Abstract

We introduce Poisson double algebroids, and the equivalent concept of double Lie bialgebroid, which arise as second-order infinitesimal counterparts of Poisson double groupoids. We develop their underlying Lie theory, showing how these objects are related by differentiation and integration. We use these results to revisit Lie 2-bialgebras by means of Poisson double structures.

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Henrique Bursztyn, Alejandro Cabrera, Matias del Hoyo. 2021-06-29. Poisson double structures. https://doi.org/10.3934/jgm.2021029

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