4 papers
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,…
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…
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…