1 citations · 1 across the 7 of their papers we have counts for
7 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…
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…
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…
Embeddability of right-angled Artin groups on the complements of linear forests
Takuya Katayama
In this article, we prove that embeddings of right-angled Artin group on the complement of a linear forest into another right-angled Artin group can be reduced to full…
Right-angled Artin groups and full subgraphs of graphs
Takuya Katayama
For a finite graph , let be the right-angled Artin group defined by the complement graph of . We show that, for any linear forest and any finite graph , …