1 citations · 3 across the 11 of their papers we have counts for
12 papers
The bicorn curves on closed surfaces
Takuya Katayama, Erika Kuno
This paper focuses on using the theory of bicorn curves in the context of closed surfaces to understand hyperbolic phenomena of the curve graphs of those surfaces. We prove that th…
Automorphisms of fine curve graphs for nonorientable surfaces
Mitsuaki Kimura, Erika Kuno
The fine curve graph of a surface was introduced by Bowden, Hensel, and Webb as a graph consisting of essential simple closed curves on the surface. Long, Margalit, Pham, Verberne,…
On virtual embeddings of braid groups into mapping class groups of surfaces
Takuya Katayama, Erika Kuno
In this article, we give a necessary and sufficient condition for embedding a finite index subgroup of Artin's braid group into the mapping class group of a connected orientable su…
Quasimorphisms on nonorientable surface diffeomorphism groups
Mitsuaki Kimura, Erika Kuno
Bowden, Hensel, and Webb constructed infinitely many quasimorphisms on the diffeomorphism groups of orientable surfaces. In this paper, we extend their result to nonorientable surf…
Uniform hyperbolicity of nonseparating curve graphs of nonorientable surfaces
Erika Kuno
Let be a connected finite type nonorientable surface with or without boundary components and punctures. We prove that the graph of nonseparating curves of is connected and…
Right-angled Artin groups and curve graphs of nonorientable surfaces
Takuya Katayama, Erika Kuno
Let be a closed nonorientable surface with or without marked points. In this paper we prove that, for every finite full subgraph of , the rig…
The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover
Takuya Katayama, Erika Kuno
Let be a connected nonorientable surface with or without boundary and punctures, and be the orientation double covering. It has previously been proved…
The RAAGs on the complement graphs of path graphs in mapping class groups
Takuya Katayama, Erika Kuno
In this article, we determine the function such that the right-angled Artin group is embedded in the mapping class group if and…
A lower bound of the distortion of the Torelli group in the mapping class group with boundary components
Erika Kuno, Genki Omori
We prove that each Torelli group of an orientable surface with any number of boundary components is at least exponentially distorted in the mapping class group by using Broaddus-Fa…
Abelian subgroups of the mapping class groups for non-orientable surfaces
Erika Kuno
Birman-Lubotzky-McCarthy proved that any abelian subgroup of the mapping class groups for orientable surfaces is finitely generated. We apply Birman-Lubotzky-McCarthy's arguments t…
Right-angled Artin groups on finite subgraphs of disk graphs
Erika Kuno
Koberda proved that if a graph is a full subgraph of a curve graph of an orientable surface , then the right-angled Artin group on is a subgroup…
Uniform hyperbolicity for curve graphs of non-orientable surfaces
Erika Kuno
Hensel-Przytycki-Webb proved that all curve graphs of orientable surfaces are 17-hyperbolic. In this paper, we show that curve graphs of non-orientable surfaces are 17-hyperbolic b…