2 papers
math.GT2023
Index of the Kontsevich-Zorich monodromy of origamis in
Pascal Kattler
The Kontsevich-Zorich monodromy of an origami is the image of the action of the Veech group on the non tautological part of the homology. In this paper we make some progress to sho…
math.DS2022
Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces
Etienne Bonnafoux, Manuel Kany, Pascal Kattler +5
The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich--Zor…