A hyperbolic Out(F_n)-complex

Abstract

For any finite collection $f_i$ of fully irreducible automorphisms of the free group $F_n$ we construct a connected $\delta$-hyperbolic $Out(F_n)$-complex in which each $f_i$ has positive translation length.

final version, to appear in Groups, Geometry and Dynamics

References in corpus (3)

• Bounded cohomology of subgroups of mapping class groups
• Convex cocompact subgroups of mapping class groups
• Asymptotics of Weil-Petersson geodesics I: ending laminations, recurrence, and flows

Cited by in corpus (9)

• Induced quasi-cocycles on groups with hyperbolically embedded subgroups
• Subgroup classification in Out(F_n)
• The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n)
• Generalized north-south dynamics on the space of geodesic currents
• A Birman exact sequence for Aut(F_n)
• Subset currents on free groups
• Rank one isometries of buildings and quasi-morphisms of Kac-Moody groups
• Acylindrical hyperbolicity of cubical small-cancellation groups
• Random length-spectrum rigidity for free groups