Introduction to Stokes Structures

by Claude Sabbah

Overview

This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed.

Product Details

ISBN-13:	9783642316951
Publisher:	Springer Berlin Heidelberg
Publication date:	10/03/2012
Series:	Lecture Notes in Mathematics , #2060
Sold by:	Barnes & Noble
Format:	eBook
File size:	92 MB
Note:	This product may take a few minutes to download.