Introduction to stokes structures

Bibliographic Information

Introduction to stokes structures

Claude Sabbah

(Lecture notes in mathematics, 2060)

Springer, c2013

Available at  / 51 libraries

Search this Book/Journal

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.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

Page Top