Poisson structures in the Banach setting: comparison of different approaches

2024/12/06 by Goliński, Tomasz, Rahangdale, Praful, Tumpach, Alice Barbora · 3 citations
#46T05 #53D17 #58B20 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2412.05391

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.

Cited by

• Poisson bivectors on infinite dimensional manifolds
• A note on precotangent bundles: the example of Grassmannians
• Banach Poisson-Lie groups, Lax equations and the AKS theorem in infinite dimensions

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