[Download] "Introduction to Stokes Structures" by Claude Sabbah # eBook PDF Kindle ePub Free
eBook details
- Title: Introduction to Stokes Structures
- Author : Claude Sabbah
- Release Date : January 03, 2012
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 114875 KB
Description
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.
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