3 papers
math.AG2025
Rank three representations of Painlevé systems: II. de Rham structure, Fourier--Laplace transformation
Miklos Eper, Szilard Szabo
We use formal microlocalization to describe the Fourier--Laplace transformation between rank 3 and rank 2 D-module representations of Painleve systems. We conclude the existence of…
math.AG2025
Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence
Miklos Eper, Szilard Szabo
We prove that there exists a holomorphic symplectic isomorphism between the rank 2 and 3 representations of the Painleve systems in the Dolbeault complex structure, and give explic…
math.AG2025
Rank three representations of Painlevé systems: I. Wild character varieties
Miklos Eper, Szilard Szabo
We give explicit cubic equations for the wild character varieties corresponding to the rank 3 representations of Painlevé equations, and compare them to the ones of their classica…