Introduction to Stokes Structures

TRAMA

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.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9783642316944
• Collana: Lecture Notes in Mathematics
• Dimensioni: 235 x 155 mm
• Formato: Brossura
• Illustration Notes: XIV, 249 p. 14 illus., 1 illus. in color.
• Pagine Arabe: 249
• Pagine Romane: xiv