Click Here to Download: https://ouo.io/0UYR15 Introduction to Stokes Structures By: Claude Sabbah Publisher: Springer Print ISBN: 9783642316944, 3642316948 eText ISBN: 9783642316951, 3642316956 Copyright year: 2013 Format: EPUB Available from $ 59.99 USD SKU 9783642316951 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.
