Introduction to Stokes Structures
Sabbah, Claude.
creator
author.
SpringerLink (Online service)
text
gw
2013
monographic
eng
access
XIV, 249 p. 14 illus., 1 illus. in color. online resource.
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.
by Claude Sabbah.
Mathematics
Geometry, algebraic
Differential Equations
Differential equations, partial
Sequences (Mathematics)
Mathematics
Algebraic Geometry
Ordinary Differential Equations
Approximations and Expansions
Sequences, Series, Summability
Several Complex Variables and Analytic Spaces
Partial Differential Equations
QA564-609
516.35
Springer eBooks
Lecture Notes in Mathematics, 2060
9783642316951
http://dx.doi.org/10.1007/978-3-642-31695-1
http://dx.doi.org/10.1007/978-3-642-31695-1
121009
20150803155057.0
978-3-642-31695-1