JournalsrsmupVol. 134pp. 133–196

The local Laplace transform of an elementary irregular meromorphic connection

  • Marco Hien

    Universität Augsburg, Germany

  • Claude Sabbah

    Ecole Polytechnique, Palaiseau, France
The local Laplace transform of an elementary irregular meromorphic connection cover
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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.

Cite this article

Marco Hien, Claude Sabbah, The local Laplace transform of an elementary irregular meromorphic connection. Rend. Sem. Mat. Univ. Padova 134 (2015), pp. 133–196

DOI 10.4171/RSMUP/134-4