activity
19972026
most citedThe free splitting complex of a free group I: Hyperbolicity

75 citations · 405 across the 36 of their papers we have counts for

collaborators

40 papers

math.GR2026

Relative free splitting and free factor complexes: An overview

Michael Handel, Lee Mosher

For any group and any free factor system of , the relative outer automorphism group acts naturally on the relative free splitting com…

math.GR2025

Relative Free Splitting Complexes III: Stable Translation Lengths and Filling Paths

Michael Handel, Lee Mosher

This is the last of a three part work about relative free splitting complexes and their actions by relative outer automorphism groups $\text{Out}(Γ;\m…

math.GR2022

Relative Free Splitting Complexes II: Stable Translation Lengths and the Two Over All Theorem

Michael Handel, Lee Mosher

This is the second of a three part study of relative free splitting complexes , known from Part~I to be Gromov hyperbolic. Here and in~Part III we focus…

math.GR2020★ 1 cited

A McCool Whitehead type theorem for finitely generated subgroups of

Mladen Bestvina, Mark Feighn, Michael Handel

S. Gersten announced an algorithm that takes as input two finite sequences and of conjugacy classes of finitely generated sub…

math.GR2019★ 3 cited

The conjugacy problem for UPG elements of

Mark Feighn, Michael Handel

An element of the outer automorphism group $\Out(\f)$ of the rank free group is {\it polynomially growing} if the word lengths of conjugacy classes in $\f$ grow at mo…

math.GR2019★ 7 cited

Second bounded cohomology and WWPD

Michael Handel, Lee Mosher

Given a group acting on a Gromov hyperbolic space, Bestvina and Fujiwara introduced the WPD property --- weak proper discontinuity --- for studying the 2nd bounded cohomology of th…