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The Hurwitz problem for abelian differentials
Julien Boulanger, Rodolfo Gutiérrez-Romo, Erwan Lanneau
Fix . Let be the maximal order of the translation group among all genus- abelian differentials. By work of Schlage-Puchta and Weitze-Schmithüsen, $\mat…
Algebraic interaction strength for translation surfaces with multiple singularities
Julien Boulanger
We compute the maximal ratio of the algebraic intersection of two closed curves on two families of translation surfaces with multiple singularities. This ratio, called the interact…
Connection points on double regular polygons
Julien Boulanger
We study connection points on the double regular -gon translation surface, for odd and its staircase model. For , we provide a large family of points with c…
Algebraic intersections on Bouw-Möller surfaces, and more general convex polygons
Julien Boulanger, Irene Pasquinelli
This paper focuses on intersection of closed curves on translation surfaces. Namely, we investigate the question of determining the intersection of two closed curves of a given len…
Lower bound for KVol on the minimal stratum of translation surfaces
Julien Boulanger
We are interested in the algebraic intersection of closed curves of a given length on translation surfaces. Namely, we study the quantity KVol which measures how many times can two…
Algebraic intersection, lengths and Veech surfaces
Julien Boulanger
In this paper, we continue the study of intersections of closed curves on translation surfaces, initiated in by S. Cheboui, A. Kessi and D. Massart for a family of arithmetic Veech…