3 papers
math-ph2026
Drinfeld Correspondence in Infinite Dimensions
Praful Rahangdale
In this article, we establish the Drinfeld correspondence between Poisson Lie groups and their infinitesimal counterparts, Lie bialgebras, in the infinite-dimensional setting. Spec…
math.DG2025
Poisson bivectors on infinite dimensional manifolds
Peter W. Michor, Praful Rahangdale
We show that, on a smoothly paracompact convenient manifold modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factor…
math-ph2024
Poisson structures in the Banach setting: comparison of different approaches
Tomasz Goliński, Praful Rahangdale, Alice Barbora Tumpach
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 ar…