paper

The local Laplace transform of an elementary irregular meromorphic connection

arXiv:1405.5310

Abstract

We give a definition of the topological local Laplace transformation for a Stokes-filtered local system on the complex affine line and we compute in a topological way the Stokes data of the Laplace transform of a differential system of elementary type.

56 pages, 21 figures. V2: Final version to appear in Rend. Sem. Mat. Univ. Padova