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math.GT2025
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…
math.GT2022
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…
math.GT2018
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…