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math.GT2021
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.GR2021
The space of non-extendable quasimorphisms
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
For a pair of a group and its normal subgroup , we consider the space of quasimorphisms and quasi-cocycles on non-extendable to . To treat this space, we esta…