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Introduction to Stokes Structures

Name: Introduction to Stokes Structures
Brand: Springer, Berlin
SKU: 01661625
Price: 21950 HUF
Availability: InStock
Author: Claude Sabbah
ISBN: 9783642316944

Claude Sabbah

Language

English

Book Paperback

Libristo code: 01661625

Publishers Springer, Berlin, June 2012

This research monograph provides a geometric description of holonomic differential systems in one or... Full description

Libristo code: 01661625

149 b

21 950 Ft

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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.