Unramified exponential-type conjecture for quantum connections of Kähler manifolds

Let $X$ be a Kähler manifold, and let $\nabla_{\frac{d}{du}}$ be its associated quantum connection. Unramified exponential-type conjecture. The connection $\nabla_{\frac{d}{du}}$ is of unramified exponential type. This predicts that the quantum connection of a Kähler manifold admits an Hukuhara–Levelt–Turrittin decomposition without a ramified change of variable. The source does not provide evidence that this conjecture has been resolved.