Volume 2060 2013

Introduction to Stokes Structures

Authors:

ISBN: 978-3-642-31694-4 (Print) 978-3-642-31695-1 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiv

  2. Dimension one

    1. Front Matter

      Pages 21-21

    2. No Access

      Book Chapter

      Pages 1-19

      \(\mathcal{I}\) -Filtrations

    3. No Access

      Book Chapter

      Pages 23-38

      Stokes-Filtered Local Systems in Dimension One

    4. No Access

      Book Chapter

      Pages 39-50

      Abelianity and Strictness

    5. No Access

      Book Chapter

      Pages 51-64

      Stokes-Perverse Sheaves on Riemann Surfaces

    6. No Access

      Book Chapter

      Pages 65-78

      The Riemann–Hilbert Correspondence for Holonomic \(\mathcal{D}\) -Modules on Curves

    7. No Access

      Book Chapter

      Pages 79-88

      Applications of the Riemann–Hilbert Correspondence to Holonomic Distributions

    8. No Access

      Book Chapter

      Pages 89-111

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

  3. Dimension two and more

    1. Front Matter

      Pages 113-113

    2. No Access

      Book Chapter

      Pages 115-129

      Real Blow-Up Spaces and Moderate de Rham Complexes

    3. No Access

      Book Chapter

      Pages 131-146

      Stokes-Filtered Local Systems Along a Divisor with Normal Crossings

    4. No Access

      Book Chapter

      Pages 147-157

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

    5. No Access

      Book Chapter

      Pages 159-175

      Good Meromorphic Connections (Formal Theory)

    6. No Access

      Book Chapter

      Pages 177-193

      Good Meromorphic Connections (Analytic Theory) and the Riemann–Hilbert Correspondence

    7. No Access

      Book Chapter

      Pages 195-206

      Push-Forward of Stokes-Filtered Local Systems

    8. No Access

      Book Chapter

      Pages 207-225

      Irregular Nearby Cycles

    9. No Access

      Book Chapter

      Pages 227-238

      Nearby Cycles of Stokes-Filtered Local Systems

  4. Back Matter

    Pages 239-249