1 citations · 1 across the 3 of their papers we have counts for
4 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…
On the signature of a positive braid
Joshua Evan Greene, Livio Liechti
We show that the signature of a positive braid link is bounded from below by one-quarter of its first Betti number. This equates to one-half of the optimal bound conjectured by Fel…
On the minimal spectral radii of skew-reciprocal integer matrices
Livio Liechti
We determine the minimal spectral radii among all skew-reciprocal integer matrices of a fixed even dimension that are primitive or nonnegative and irreducible. In particular, excep…
Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps
Erwan Lanneau, Livio Liechti, Chi Cheuk Tsang
We show that the stretch factor of an orientation-reversing fully-punctured pseudo-Anosov map on a finite-type orientable surface , with and having a…