Introduction to Stokes Structures

Chapter 1 $$\mathcal{I}$$ -Filtrations

Chapter 2 Stokes-Filtered Local Systems in Dimension One

Chapter 3 Abelianity and Strictness

Chapter 4 Stokes-Perverse Sheaves on Riemann Surfaces

Chapter 5 The Riemann–Hilbert Correspondence for Holonomic $$\mathcal{D}$$ -Modules on Curves

Chapter 6 Applications of the Riemann–Hilbert Correspondence to Holonomic Distributions

Chapter 7 Riemann–Hilbert and Laplace on the Affine Line (the Regular Case)

Chapter 8 Real Blow-Up Spaces and Moderate de Rham Complexes

Chapter 9 Stokes-Filtered Local Systems Along a Divisor with Normal Crossings

Chapter 10 The Riemann–Hilbert Correspondence for Good Meromorphic Connections (Case of a Smooth Divisor)

Chapter 11 Good Meromorphic Connections (Formal Theory)

Chapter 13 Push-Forward of Stokes-Filtered Local Systems

Chapter 14 Irregular Nearby Cycles

Chapter 15 Nearby Cycles of Stokes-Filtered Local Systems