| Introduction to Stokes Structures 2013 Edition Contributor(s): Sabbah, Claude (Author) |
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ISBN: 3642316948 ISBN-13: 9783642316944 Publisher: Springer OUR PRICE: $56.99 Product Type: Paperback Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Geometry - Algebraic - Mathematics | Mathematical Analysis |
| Dewey: 515.354 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.7" H x 6.1" W x 9" (0.80 lbs) 249 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |