Buch, Englisch, Band 2060, 249 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 4102 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 2060, 249 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 4102 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-642-31694-4
Verlag: Springer
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.
Zielgruppe
Research
