Introduction to Stokes Structures

This book PDF is perfect for those who love Mathematics genre, written by Claude Sabbah and published by Springer which was released on 03 October 2012 with total hardcover pages 249. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Introduction to Stokes Structures books below.

Introduction to Stokes Structures
Introduction to Stokes Structures
Author : Claude Sabbah
File Size : 52,8 Mb
Publisher : Springer
Language : English
Release Date : 03 October 2012
ISBN : 9783642316951
Pages : 249 pages
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Introduction to Stokes Structures by Claude Sabbah Book PDF Summary

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.

Introduction to Stokes Structures

Introduction to Stokes Structures by Claude Sabbah

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

Get Book
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