3 papers
math.AG2026
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…
math.AG2024
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…
math.AG2024
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,…