Rendiconti del Seminario Matematico della Università di Padova


Full-Text PDF (17424 KB) | Metadata | Table of Contents | RSMUP summary
Volume 134, 2015, pp. 133–196
DOI: 10.4171/RSMUP/134-4

The local Laplace transform of an elementary irregular meromorphic connection

Marco Hien[1] and Claude Sabbah[2]

(1) Institut für Mathematik, Universität Augsburg, Universitätsstrasse 14, 86159, Augsburg, Germany
(2) Centre de Mathématiques, Ecole Polytechnique, 91128, Palaiseau CEDEX, France

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.

Keywords: Laplace transformation, meromorphic connection, Stokes matrix, Stokes filtration

Hien Marco, Sabbah Claude: The local Laplace transform of an elementary irregular meromorphic connection. Rend. Sem. Mat. Univ. Padova 134 (2015), 133-196. doi: 10.4171/RSMUP/134-4