Introduction to Stokes Structures (Paperback) (ISBN-13: 9783642316944)

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.

Author: Claude Sabbah
ISBN-10: 3642316948
ISBN-13: 9783642316944
Publisher: Springer
Language: English
Published: 10/04/2012
Pages: 249
Format: Paperback
Weight: 0.80lbs
Size: 9.00h x 6.10w x 0.70d