Introduction to Stokes Structures Lecture Notes in Mathematics
Claude Sabbah · 2012
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About the book
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
- Year
- 2012
- Publisher
- Springer
- Editions
- 1
- Pages
- 249
- ISBN
- 9783642316944
Data source: Wikidata
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