4 citations · 9 across the 9 of their papers we have counts for
10 papers
Combinatorics of the Fourier transform: Stokes data, Gale duality and frieze patterns
Jean Douçot, Andreas Hohl
We study the action of the Fourier transform on the Stokes data of irregular connections on the complex affine line with symmetric irregular classes at infinity, both from the poin…
Stokes phenomenon of Kloosterman and Airy connections
Andreas Hohl, Konstantin Jakob
We define categories of Stokes filtered and Stokes graded -local systems for reductive groups and use the formalism of Tannakian categories to show that they are equivalent…
A topological algorithm for the Fourier transform of Stokes data at infinity
Jean Douçot, Andreas Hohl
We give a topological description of the behaviour of Stokes matrices under the Fourier transform from infinity to infinity in a large number of cases of one level. This explicit,…
Kashiwara conjugation and the enhanced Riemann-Hilbert correspondence
Andreas Hohl
We study some aspects of conjugation and descent in the context of the irregular Riemann-Hilbert correspondence of D'Agnolo-Kashiwara. First, we give a proof of the fact that Kashi…
Unusual functorialities for weakly constructible sheaves
Andreas Hohl, Pierre Schapira
We prove that various morphisms related to the six Grothendieck operations on sheaves become isomorphisms when restricted to (weakly) constructible sheaves. To this end, we first s…
An introduction to field extensions and Galois descent for sheaves of vector spaces
Andreas Hohl
We study extension of scalars for sheaves of vector spaces, assembling results that follow from well-known statements about vector spaces, but also developing some complements. In…
Moderate Growth and Rapid Decay Nearby Cycles via Enhanced Ind-Sheaves
Brian Hepler, Andreas Hohl
For any holomorphic function on a complex manifold , we define and study moderate growth and rapid decay objects associated to an enhanced ind-sheaf on…
Stokes matrices for Airy equations
Andreas Hohl, Konstantin Jakob
We compute Stokes matrices for generalised Airy equations and prove that they are regular unipotent (up to multiplication with the formal monodromy). This class of differential equ…
Betti structures of hypergeometric equations
Davide Barco, Marco Hien, Andreas Hohl +1
We study Betti structures in the solution complexes of confluent hypergeometric equations. We use the framework of enhanced ind-sheaves and the irregular Riemann-Hilbert correspond…
D-modules of pure Gaussian type and enhanced ind-sheaves
Andreas Hohl
Differential systems of pure Gaussian type are examples of D-modules on the complex projective line with an irregular singularity at infinity, and as such are subject to the Stokes…