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math.GT2023
A Farey tree structure on a family of pseudo-Anosovs
Ethan Farber
We introduce a new perspective on a procedure for generating pseudo-Anosov homemorphisms from postcritically finite interval maps. The central idea is the realization of a tree str…
math.GT2022★ 3 cited
Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil
Ethan Farber, Braeden Reinoso, Luya Wang
Given any genus-two, hyperbolic, fibered knot in with nonzero fractional Dehn twist coefficient, we show that its pseudo-Anosov representative has a fixed point. Combined wit…