Introduction to Stokes structures
Abstract
The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one, and make it enter the frame of perverse sheaves. They also give a first step for a general definition in higher dimension, and make explicit particular cases of the Riemann-Hilbert correspondence, relying on recent results of T. Mochizuki.
Keywords
Cite
@article{arxiv.0912.2762,
title = {Introduction to Stokes structures},
author = {Claude Sabbah},
journal= {arXiv preprint arXiv:0912.2762},
year = {2012}
}
Comments
Expanded Lecture notes of lectures given in Lisboa, jan. 2009. V2: 175 pages, 5 figures. Some corrections and improvements and new Lecture 6 added. V3: 191 pages, Lecture 14 added. V4: 202 pages, Duality properties added in Lectures 5 & 7. V5: revised and corrected version: 242 pages