4 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
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\…
Linear representations of Aut(F_r) on the homology of representation varieties
Yael Algom-Kfir, Asaf Hadari
Let G be a compact semisimple linear Lie group. We study the action of Aut(F_r) on the space H_*(G^r;\QQ). We compute the image of this representation and prove that it only depend…
A parabolic action on a proper, CAT(0) cube complex
Yael Algom-Kfir, Bronislaw Wajnryb, Pawel Witowicz
We consider diagram groups as defined by V. Guba and M. Sapir. A diagram group G acts on the associated cube complex K by isometries. It is known that if a cube complex L is of a f…