34 citations · 50 across the 8 of their papers we have counts for
12 papers
Groups of proper homotopy equivalences of graphs and Nielsen Realization
Yael Algom-Kfir, Mladen Bestvina
For a locally finite connected graph we consider the group of proper homotopy equivalences of . We show that it has a natural Polish group topology, and we propose…
The visual boundary of hyperbolic free-by-cyclic groups
Yael Algom-Kfir, Arnaud Hilion, Emily Stark
Let be an atoroidal outer automorphism of the free group . We study the Gromov boundary of the hyperbolic group . We explicitly describe a…
Stable Strata of Geodesics in Outer Space
Yael Algom-Kfir, Ilya Kapovich, Catherine Pfaff
In this paper we propose an Outer space analogue for the principal stratum of the unit tangent bundle to the Teichmüller space of a closed hyperbolic surface .…
Normalizers and centralizers of cyclic subgroups generated by lone axis fully irreducible outer automorphisms
Yael Algom-Kfir, Catherine Pfaff
We let be an ageometric fully irreducible outer automorphism so that its Handel-Mosher axis bundle consists of a single unique axis. We show that the centralizer $Cen(\langleφ\…
A dense geodesic ray in the -quotient of reduced Outer Space
Yael Algom-Kfir, Catherine Pfaff
In 1981 Masur proved the existence of a dense geodesic in the moduli space for a Teichmüller space. We prove an analogue theorem for reduced Outer Space endowed with the Lipschitz…
Digraphs and cycle polynomials for free-by-cyclic groups
Yael Algom-Kfir, Eriko Hironaka, Kasra Rafi
Let $ϕ\in \mbox{Out}(F_n)$ be a free group outer automorphism that can be represented by an expanding, irreducible train-track map. The automorphism determines a free-by-cyclic…