= Isomonodromic deformation
{title2=$A_z-B_\lambda+[A,B]=0$}
A parameter deformation preserves generalized <monodromy> data, including <Stokes matrices> and <formal monodromy> at irregular points. If normalized sectorial <matrices> have parameter-independent jumps, $B=Y_zY^{-1}$ agrees across overlaps. Its finite singularities and growth at infinity determine it by complex analytic arguments. Compatibility of $Y_\lambda=AY$ and $Y_z=BY$ is precisely the displayed zero-curvature identity, obtained by differentiating both equations and subtracting.
Back to article page
