3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
math.DS2021
Constructing pseudo-Anosovs from expanding interval maps
Ethan Farber
We investigate a phenomenon observed by W. Thurston wherein one constructs a pseudo-Anosov homeomorphism on the limit set of a certain lift of a piecewise-linear expanding interval…