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Introduction to Stokes Structures

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Cover of 'Introduction to Stokes Structures'

Table of Contents

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    Book Overview
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    Chapter 1 $$\mathcal{I}$$ -Filtrations
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    Chapter 2 Stokes-Filtered Local Systems in Dimension One
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    Chapter 3 Abelianity and Strictness
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    Chapter 4 Stokes-Perverse Sheaves on Riemann Surfaces
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    Chapter 5 The Riemann–Hilbert Correspondence for Holonomic $$\mathcal{D}$$ -Modules on Curves
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    Chapter 6 Applications of the Riemann–Hilbert Correspondence to Holonomic Distributions
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    Chapter 7 Riemann–Hilbert and Laplace on the Affine Line (the Regular Case)
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    Chapter 8 Real Blow-Up Spaces and Moderate de Rham Complexes
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    Chapter 9 Stokes-Filtered Local Systems Along a Divisor with Normal Crossings
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    Chapter 10 The Riemann–Hilbert Correspondence for Good Meromorphic Connections (Case of a Smooth Divisor)
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    Chapter 11 Good Meromorphic Connections (Formal Theory)
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    Chapter 12 Good Meromorphic Connections (Analytic Theory) and the Riemann–Hilbert Correspondence
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    Chapter 13 Push-Forward of Stokes-Filtered Local Systems
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    Chapter 14 Irregular Nearby Cycles
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    Chapter 15 Nearby Cycles of Stokes-Filtered Local Systems
Attention for Chapter 12: Good Meromorphic Connections (Analytic Theory) and the Riemann–Hilbert Correspondence
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