Introduction to Stokes Structures /
Sabbah, Claude.
Introduction to Stokes Structures / by Claude Sabbah. - xiv, 249 páginas 14 ilustraciones, 1 ilustraciones en color. recurso en línea. - Lecture Notes in Mathematics, 2060 0075-8434 ; .
Springer eBooks
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.
9783642316951
10.1007/9783642316951 doi
QA564-609
Introduction to Stokes Structures / by Claude Sabbah. - xiv, 249 páginas 14 ilustraciones, 1 ilustraciones en color. recurso en línea. - Lecture Notes in Mathematics, 2060 0075-8434 ; .
Springer eBooks
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.
9783642316951
10.1007/9783642316951 doi
QA564-609