1 citations · 1 across the 2 of their papers we have counts for
8 papers
Trace field degrees in the Torelli group
Erwan Lanneau, Livio Liechti
We show that for , all integers arise as trace field degrees of pseudo-Anosov mapping classes in the Torelli group of the closed orientable surface of ge…
Minor theory for quasipositive surfaces
Sebastian Baader, Pierre Dehornoy, Livio Liechti
The set of quasipositive surfaces is closed under incompressible inclusion. We prove that the induced order on fibre surfaces of positive braid links is almost a well-quasi-order.…
Divide monodromies and antitwists on surfaces
Pierre Dehornoy, Livio Liechti
A divide on an orientable 2-orbifold gives rise to a fibration of the unit tangent bundle to the orbifold.We characterize the corresponding monodromies as exactly the products of a…
Overcommuting pairs in groups and 3-manifolds bounding them
Livio Liechti, Julien Marché
We introduce the notions of overcommutation and overcommutation length in groups, and show that these concepts are closely related to representations of the fundamental groups of 3…
On the arithmetic and the geometry of skew-reciprocal polynomials
Livio Liechti
We reformulate Lehmer's question from 1933 and a question due to Schinzel and Zassenhaus from 1965 in terms of a comparison of the Mahler measures and the houses, respectively, of…
Minimal pseudo-Anosov stretch factors on nonoriented surfaces
Livio Liechti, Balázs Strenner
We determine the smallest stretch factor among pseudo-Anosov maps with an orientable invariant foliation on the closed nonorientable surfaces of genus 4, 5, 6, 7, 8, 10, 12, 14, 16…