3 papers
math.GT2024
Quadratic-time computations for pseudo-Anosov mapping classes
Dan Margalit, Balázs Strenner, Samuel J. Taylor +1
We give a quadratic-time algorithm to compute the stretch factor and the invariant measured foliations for a pseudo-Anosov element of the mapping class group. As input, the algorit…
math.GT2018
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…
math.GT2018
The Arnoux-Yoccoz mapping classes via Penner's construction
Livio Liechti, Balázs Strenner
We give a new description of the Arnoux-Yoccoz mapping classes as a product of two Dehn twists and a finite order element. The construction is analogous to Penner's construction of…