Erwan Lanneau

collaborators

3 papers

math.GT2025

Trace field degrees in the Torelli group

Erwan Lanneau, Livio Liechti

We show that for $g \geq 2$ , all integers $1 \leq d \leq 3 g - 3$ arise as trace field degrees of pseudo-Anosov mapping classes in the Torelli group of the closed orientable surface of ge…

math.GT2025

The Hurwitz problem for abelian differentials

Julien Boulanger, Rodolfo GutiÃ©rrez-Romo, Erwan Lanneau

Fix $g \geq 2$ . Let $t (g)$ be the maximal order of the translation group among all genus- $g$ abelian differentials. By work of Schlage-Puchta and Weitze-SchmithÃ¼sen, $\ma…

math.GT2024

Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps

Erwan Lanneau, Livio Liechti, Chi Cheuk Tsang

We show that the stretch factor $I^» (f)$ of an orientation-reversing fully-punctured pseudo-Anosov map $f$ on a finite-type orientable surface $S$ , with $- I ¨ (S) \geq 4$ and having a…