Introduction to stokes structures
Author(s)
Bibliographic Information
Introduction to stokes structures
（Lecture notes in mathematics, 2060）
Springer, c2013
Available at 51 libraries
Note
Includes bibliographical references (p. 239-243) and indexes
Description and Table of Contents
Description
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.
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