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math.GR2024
Relative simplicity of the universal coverings of transformation groups and Tsuboi's metric
Morimichi Kawasaki, Mitsuaki Kimura, Hiroki Kodama +3
Many transformation groups on manifolds are simple, but their universal coverings are not. In the present paper, we study the concept of relatively simple group, that is, a group w…
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…
math.GT2024
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,…