11 citations · 12 across the 10 of their papers we have counts for
7 papers · 1 filter
Graphs of Quasicircles and Quasiconformal Homeomorphisms
Katherine Williams Booth, Alexander Nolte, Yvon Verberne
We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface of genus at least . In particular, we prove they are exa…
Fibered 3-manifolds and Veech groups
Christopher J. Leininger, Kasra Rafi, Nicholas Rouse +2
We study Veech groups associated to the pseudo-Anosov monodromies of fibers and foliations of a fixed hyperbolic 3-manifold. Assuming Lehmer's Conjecture, we prove that the Veech g…
Asymptotic Dimension of Big Mapping Class Groups
Curtis Grant, Kasra Rafi, Yvon Verberne
Even though big mapping class groups are not countably generated, certain big mapping class groups can be generated by a coarsely bounded set and have a well defined quasi-isometry…
The grand arc graph
Assaf Bar-Natan, Yvon Verberne
In this article, we construct a new simplicial complex for infinite-type surfaces, which we call the grand arc graph. We show that if the end space of a surface has at least three…
Automorphisms of the fine curve graph
Adele Long, Dan Margalit, Anna Pham +2
Building on work of Farb and the second author, we prove that the group of automorphisms of the fine curve graph for a surface is isomorphic to the group of homeomorphisms of the s…
Stable specific torsion length and periodic mapping classes
Elizabeth Field, Yvon Verberne
We show that for any periodic mapping class, there is some power which maps a nonseparating, simple closed curve to a distinct, disjoint nonseparating curve. As an application of t…
A construction of pseudo-Anosov homeomorphisms using positive twists
Yvon Verberne
We introduce a construction of pseudo-Anosov homeomorphisms on n-times punctured spheres and surfaces with higher genus using only sufficiently many positive half-twists. These con…