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math.GT2024
Invariant quasimorphisms and generalized mixed Bavard duality
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
This article provides an expository account of the celebrated duality theorem of Bavard and three its strengthenings. The Bavard duality theorem connects scl (stable commutator len…
math.GT2023★ 1 cited
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,…
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…