Poisson double structures
Symplectic Geometry
2022-07-14 v1 Differential Geometry
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.
Cite
@article{arxiv.2106.15403,
title = {Poisson double structures},
author = {Henrique Bursztyn and Alejandro Cabrera and Matias del Hoyo},
journal= {arXiv preprint arXiv:2106.15403},
year = {2022}
}
Comments
28 pages. Dedicated to the memory of Kirill Mackenzie