Middle convolution is an operation for Fuchsian systems of differential equations which preserves Schlesinger’s deformation equations. In this paper we announce that Bolibruch’s non-Schlesinger deformations of Fuchsian systems are, in general, not preserved by middle convolution.
"Middle convolution and non-Schlesinger deformations." Proc. Japan Acad. Ser. A Math. Sci. 91 (5) 66 - 69, May 2015. https://doi.org/10.3792/pjaa.91.66