Introduction to stokes structures

by Sabbah, Claude

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Title Statements

Full title :Introduction to stokes structures / Claude Sabbah.

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.

Edition Statements

Publication Date:©2013.

Publication Statements

Publisher(s):Springer
Place of Publication:Berlin
Language:eng
Publication Date:©2013.

Notes

Titre de l'écran-titre (visionné le 12 mars 2013).

The Physical Object

Description:1 online resource (1 texte électronique (xiv, 249 p.)) : : illustrations, fichiers PDF

Edition Identifiers

ISBN:3642316956, 9783642316951
oclc:ocn833040839
LC Classification:QA371
Dewey Decimal:515/.354

Subjects

Differential equations, Linear e-books Équations différentielles linéaires Livre électronique (Descripteur de form… Livres numériques Ressource Internet (Descripteur de form… Stoke's theorem Théorème de Stokes