Introduction to Stokes Structures Claude Sabbah

ISBN: 9783642316944

Published: October 4th 2012

Paperback

249 pages


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Introduction to Stokes Structures  by  Claude Sabbah

Introduction to Stokes Structures by Claude Sabbah
October 4th 2012 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 249 pages | ISBN: 9783642316944 | 7.57 Mb

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 irregularMoreThis 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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