14 citations · 44 across the 7 of their papers we have counts for
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Fibrations of 3-manifolds and asymptotic translation length in the arc complex
Balázs Strenner
Given a 3-manifold fibering over the circle, we investigate how the asymptotic translation lengths of pseudo-Anosov monodromies in the arc complex vary as we vary the fibration…
Minimal Penner dilatations on nonorientable surfaces
Livio Liechti, Balázs Strenner
For any nonorientable closed surface, we determine the minimal dilatation among pseudo-Anosov mapping classes arising from Penner's construction. We deduce that the sequence of min…
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…
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…