Introduction to Stokes structures

DOI10.1007/978-3-642-31695-1zbMath1260.34002arXiv0912.2762OpenAlexW1596283011MaRDI QIDQ438684

Claude Sabbah

Publication date: 31 July 2012

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2762

zbMATH Keywords

Riemann-Hilbert correspondencelocal systemdifferential systemmeromorphic connectionHukuhara-Turrittin theoremStokes dataStokes filtrationStokes-constructible sheafStokes-perverse sheaf

Mathematics Subject Classification ID

Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

Integrable deformations and degenerations of some irregular singularities, Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules, Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules, Non-commutative Hodge structures, An analogue of Dubrovin's conjecture, Topological computation of some Stokes phenomena on the affine line, Localization formulas of cohomology intersection numbers, Quadratic relations between periods of connections, Remarks on rigid irreducible meromorphic connections on the projective line, Moduli of Stokes torsors and singularities of differential equations, Euler and Laplace integral representations of GKZ hypergeometric functions. I, Euler and Laplace integral representations of GKZ hypergeometric functions. II, Higher dimensional Stokes structures are rare, A microlocal approach to the enhanced Fourier-Sato transform in dimension one, \(\mathbb{C}\)-constructible enhanced ind-sheaves, Convergence Polygons for Connections on Nonarchimedean Curves, ON THE IRREGULAR HODGE FILTRATION OF EXPONENTIALLY TWISTED MIXED HODGE MODULES, Irregular perverse sheaves, D-modules of pure Gaussian type and enhanced ind-sheaves