11 citations · 12 across the 10 of their papers we have counts for
11 papers
Finite quotients of spherical Artin groups
Sam Hughes, Thomas Ng, Kaitlin Ragosta +2
We show the smallest non-abelian quotients of spherical and affine Artin groups are isomorphic to the smallest non-abelian quotients of the corresponding Coxeter groups. We deduce…
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…
Transitivity of the pure Hurwitz classes of quadratic post-critically finite polynomials
Yvon Verberne, Rebecca R. Winarski
We prove that for two post-critically finite quadratic polynomials , there is a mapping class of the sphere with finitely many marked points such that and are pur…
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…
Finite image homomorphisms of the braid group and its generalizations
Nancy Scherich, Yvon Verberne
Using totally symmetric sets, Chudnovsky, Kordek, Li, and Partin gave a superexponential lower bound on the cardinality of non-abelian finite quotients of the braid group. In this…
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…
Geodesics in the mapping class group
Kasra Rafi, Yvon Verberne
We construct explicit examples of geodesics in the mapping class group and show that the shadow of a geodesic in mapping class group to the curve graph does not have to be a quasi-…