By Claude Sabbah

This learn monograph presents a geometrical description of holonomic differential platforms in a single or extra variables. Stokes matrices shape the prolonged monodromy information for a linear differential equation of 1 advanced variable close to an abnormal singular aspect. the current quantity offers the procedure by way of Stokes filtrations. For linear differential equations on a Riemann floor, it additionally develops the comparable concept of a Stokes-perverse sheaf.
This standpoint is generalized to holonomic structures of linear differential equations within the complicated area, and a normal Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a fancy manifold. functions to the distributions options to such structures also are mentioned, and numerous operations on Stokes-filtered neighborhood structures are analyzed.

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