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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Introduction to Stokes Structures
• Author: Claude Sabbah
• Language: English
• Binding: Paperback
• Number of pages: 268
• EAN: 9783642316944
• ISBN: 3642316948
• ID: 01661625
• Publisher: Springer, Berlin
• Weight: 418 g
• Dimensions: 235 × 155 × 18 mm
• Date of publishing: 08. June 2012

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