Fourier-Laplace transform and isomonodromic deformations

Abstract

Using the Fourier-Laplace transform, we describe the isomonodromy equations for meromorphic connections on the Riemann sphere with unramified irregular singularities as those for connections with a (possibly ramified) irregular singularity and a regular singularity. This generalizes some results of Harnad and Woodhouse.

33 pages, added references, added Corollary 3.17 and Remark 3.18 on the middle convolution