Poisson structures in the Banach setting: comparison of different approaches
Mathematical Physics
2025-11-20 v1 Differential Geometry
math.MP
Abstract
In this paper we examine various approaches to the notion of Poisson manifold in the context of Banach manifolds. Existing definitions are presented and differences between them are explored and illustrated with examples.
Keywords
Cite
@article{arxiv.2412.05391,
title = {Poisson structures in the Banach setting: comparison of different approaches},
author = {Tomasz Goliński and Praful Rahangdale and Alice Barbora Tumpach},
journal= {arXiv preprint arXiv:2412.05391},
year = {2025}
}
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21 pages