Isomonodromic deformations of irregular connections and stability of bundles

Let $G$ be a reductive affine algebraic group defined over $\mathbb C$, and let $\nabla_0$ meromorphic $G$-connection on holomorphic $G$-bundle $E_0$, smooth complex curve $X_0$, with polar locus $P_0 \subset X_0$. We assume that is irreducible in the sense it does not factor through some proper parabolic subgroup of $G$. consider universal isomonodromic deformation $(E_t\to X_t, \nabla_t, P_t)_{t\in \mathcal{T}}$ $(E_0\to X_0, \nabla_0, P_0)$, where $\mathcal{T}$ certain quotient framed Teichm\uller space we describe. show if genus $g$ $X_0$ satisfies $g\geq 2$, then for general parameter $t\in \mathcal{T}$, $E_t\to X_t$ stable. For 1$, are able to semistable.