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.
