M. Handel

collaborators

4 papers

math.GR2026

Relative free splitting and free factor complexes: An overview

Michael Handel, Lee Mosher

For any group $I^$ and any free factor system~ $A$ of $I^$ , the relative outer automorphism group $Out (I^; A)$ acts naturally on the relative free splitting…

math.GR2025

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 $F S (I^; A)$ , known from Part~I to be Gromov hyperbolic. Here and in~Part III we focu…

math.GR2025

Relative free splitting and free factor complexes I: Hyperbolicity

Michael Handel, Lee Mosher

We study the large scale geometry of the relative free splitting complex and the relative free factor complex of the rank $n$ free group $F_{n}$ , relative to the choice of a free fac…

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 $F S (I^, A)$ and their actions by relative outer automorphism groups $\text{Out}(Î;…