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arXiv · 2512.08590

Poisson bivectors on infinite dimensional manifolds

Peter W. Michor·Praful Rahangdale
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Abstract

We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$.

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Peter W. Michor, Praful Rahangdale. 2025-12-09. Poisson bivectors on infinite dimensional manifolds. https://arxiv.org/abs/2512.08590

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