4 citations · 5 across the 4 of their papers we have counts for
11 papers
Separability of Solvable Subgroups in Linear Groups
Roger Alperin, Benson Farb
Let G be a finitely generated linear group over a field of characteristic 0. Suppose that every solvable subgroup of G is polycyclic. Then the claim is made that any solvable subgr…
Hidden symmetry and arithmetic manifolds
Benson Farb, Shmuel Weinberger
A "hidden symmetry" of a Riemannian manifold M is an isometry of a d-sheeted, 1<d<\infty, Riemannian cover of M which is not the lift of any isometry. In this paper we characterize…
The Torelli geometry and its applications
Benson Farb, Nikolai V. Ivanov
For each closed orientable surface we introduce a simplical complex with some additional structure which is a version of the complex of curves of this surface adjusted to investiga…
Every mapping class group is generated by 6 involutions
Tara E. Brendle, Benson Farb
Let Mod_{g,b} denote the mapping class group of a surface of genus g with b punctures. Feng Luo asked in a recent preprint if there is a universal upper bound, independent of genus…
Real-analytic, volume-preserving actions of lattices on 4-manifolds
Benson Farb, Peter Shalen
We prove that any real-analytic, volume-preserving action of a lattice in a simple Lie group with $\Qrank(Γ)\geq 7$ on a closed 4-manifold of nonzero Euler characteristic facto…
Groups of homeomorphisms of one-manifolds, III: Nilpotent subgroups
Benson Farb, John Franks
This paper has been withdrawn by the authors; it will be incorporated into part I of the series (in preparation).