16 citations · 34 across the 9 of their papers we have counts for
4 papers · 1 filter
Commensurations of Out(F_n)
Benson Farb, Michael Handel
Let $\Out(F_n)$ denote the outer automorphism group of the free group with . We prove that for any finite index subgroup $Γ<\Out(F_n)$, the group $\Aut(Γ)$ is isomorphic…
Some problems on mapping class groups and moduli space
Benson Farb
This paper presents a number of problems about mapping class groups and moduli space. The paper will appear in the book "Problems on Mapping Class Groups and Related Topics", ed. b…
The lower central series and pseudo-Anosov dilatations
Benson Farb, Christopher J. Leininger, Dan Margalit
The theme of this paper is that algebraic complexity implies dynamical complexity for pseudo-Anosov homeomorphisms of a closed surface S_g of genus g. Penner proved that the logari…
The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group
Tara E. Brendle, Benson Farb
In the 1970s, Birman-Craggs-Johnson used Rochlin's invariant for homology 3-spheres to construct a remarkable surjective homomorphism sigma:I_{g,1}->B_3, where I_{g,1} is the Torel…