2 papers
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.GT2024
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…