Benson Farb

activity

19952024

most citedConvex cocompact subgroups of mapping class groups

134 citations · 268 across the 31 of their papers we have counts for

collaborators

34 papers

math.AG2024

Irrationality of the general smooth quartic $3$ -fold using intermediate Jacobians

Benson Farb

We prove that the intermediate Jacobian of the Klein quartic $3$ -fold $X$ is not isomorphic, as a principally polarized abelian variety, to a product of Jacobians of curves. As cor…

math.GT2016★ 8 cited

Finite covers of graphs, their primitive homology, and representation theory

Benson Farb, Sebastian Hensel

Consider a finite, regular cover $Y \to X$ of finite graphs, with associated deck group $G$ . We relate the topology of the cover to the structure of $H_{1} (Y; C)$ as a $G$ -rep…

math.GT2015

Moving homology classes in finite covers of graphs

Benson Farb, Sebastian Hensel

Let $Y \to X$ be a finite normal cover of a wedge of $n \geq 3$ circles. We prove that for any $v \neq = 0 \in H_{1} (Y; Q)$ there exists a lift $F$ to $Y$ of a homotopy…

math.GT2014★ 5 cited

Torelli buildings and their automorphisms

Benson Farb, Nikolai V. Ivanov

In this paper we introduce, for each closed orientable surface, an analogue of Tits buildings adjusted to investigation of the Torelli group of this surface. It is a simplicial com…

math.GR2010

The extremal symmetry of arithmetic simplicial complexes

Benson Farb, Amir Mohammadi

Let $G$ be a higher-rank semisimple Lie group over a nonarchimedean local field, for example $G = PGL (n, Q_{P})$ . To any lattice $L$ in $G$ there is an associated simplicial compl…

math.GT2009★ 16 cited

Small dilatation pseudo-Anosovs and 3-manifolds

Benson Farb, Christopher J. Leininger, Dan Margalit

The main result of this paper is a universal finiteness theorem for the set of all small dilatation pseudo-Anosov homeomorphisms, ranging over all surfaces. More precisely, we cons…