Poisson bivectors on infinite dimensional manifolds
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 $L_{skew}^2(T^*M,\mathbb R)$.
Fields of Study & Subjects
Geometry and complex manifolds
Holomorphic and Operator Theory
Advanced Operator Algebra Research
Publication details
- Journal / source
- Archivum Mathematicum
- Issue
- 3
- Pages
- 113–123
- Publication date
- 1 January 2026
- Language
- EN