An embedded curve in a Poisson surface \Sigma\subset X defines a smooth deformation space \mathcal{B} of nearby embedded curves. In this talk we will describe a key idea of Kontsevich and Soibelman to equip the Poisson surface X with a foliation in order to study the deformation space \mathcal{B}. For example, X=TP^1\to P^1 is a Poisson surface surface foliated by its fibres. The foliation, together with a vector space V_\Sigma of meromorphic differentials on \Sigma, endows an embedded curve \Sigma with the structure of the initial data of topological recursion, which defines a collection of symmetric tensors on V_\Sigma. These tensors produce a formal series, which turns out to be a formal Seiberg-Witten differential, that descends under a quotient to an analytic series.