{"_id":"63602","date_created":"2026-01-14T01:08:37Z","abstract":[{"text":"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 $L_{skew}^2(T^*M,\\mathbb R)$.","lang":"eng"}],"status":"public","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"103300","year":"2025","date_updated":"2026-01-14T02:11:51Z","type":"preprint","language":[{"iso":"eng"}],"title":"Poisson bivectors on infinite dimensional manifolds","author":[{"first_name":" P. W.","last_name":"Michor","full_name":"Michor,  P. W."},{"first_name":"Praful","last_name":"Rahangdale","full_name":"Rahangdale, Praful","id":"103300"}],"citation":{"mla":"Michor,  P. W., and Praful Rahangdale. <i>Poisson Bivectors on Infinite Dimensional Manifolds</i>. 2025.","ieee":"P. W. Michor and P. Rahangdale, “Poisson bivectors on infinite dimensional manifolds.” 2025.","ama":"Michor  P. W., Rahangdale P. Poisson bivectors on infinite dimensional manifolds. Published online 2025.","apa":"Michor,  P. W., &#38; Rahangdale, P. (2025). <i>Poisson bivectors on infinite dimensional manifolds</i>.","short":"P. W. Michor, P. Rahangdale, (2025).","bibtex":"@article{Michor_Rahangdale_2025, title={Poisson bivectors on infinite dimensional manifolds}, author={Michor,  P. W. and Rahangdale, Praful}, year={2025} }","chicago":"Michor,  P. W., and Praful Rahangdale. “Poisson Bivectors on Infinite Dimensional Manifolds,” 2025."}}