The paper “Exponential estimates of symplectic slow manifolds“, co-authored by Claudia Wulff and Kristian Uldall Kristiansen (Danish Technical University) has been accepted for publication in the Journal of Differential Equations. Final form preprint is arXiv-ed here. In the paper, they prove the existence of an almost invariant symplectic slow manifold for analytic Hamiltonian slow-fast systems with finitely many slow degrees of freedom for which the error field is exponentially small.