M. Kimura

activity

20202026

most citedAutomorphisms of fine curve graphs for nonorientable surfaces

1 citations · 1 across the 12 of their papers we have counts for

collaborators

14 papers

math.GR2026

Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ its normal subgroup. On the mixed commutator subgroup $[G, N]$ , the mixed stable commutator length $scl_{G, N}$ and the restriction of the ordinar…

math.MG2026

Fibonacci numbers and a metric on coprime pairs

Mitsuaki Kimura

In this paper, we introduce a metric on the set of pairs of coprime natural numbers. We explicitly construct a quasi-isometric embedding from the set of natural numbers into this m…

math.SG2025

Flux homomorphism and bilinear form constructed from Shelukhin's quasimorphism

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Given a closed connected symplectic manifold $(M, ω)$ , we construct an alternating $R$ -bilinear form $b = b_{μ_{Sh}}$ on the real first cohomol…

math.SG2025

Non-extendablity of Shelukhin's quasimorphism and non-triviality of Reznikov's class

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Shelukhin constructed a quasimorphism on the universal covering of the group of Hamiltonian diffeomorphisms for a general closed symplectic manifold. In the present paper, we prove…

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.DS2024

Topological vortex identification for two-dimensional turbulent flows in doubly periodic domains

Mitsuaki Kimura, Takeshi Matsumoto, Takashi Sakajo +2

The dynamics and statistical properties of two-dimensional (2D) turbulence are often investigated through numerical simulations of incompressible, viscous fluids in doubly periodic…

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.GR2023

Coarse group theoretic study on stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Let $G$ be a group and $N$ a normal subgroup of $G$ . We study the large scale behavior, not the exact values themselves, of the stable mixed commutator length $sc l_{G, N}$ on the mi…

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.GR2022

Survey on invariant quasimorphisms and stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

A homogeneous quasimorphism $ϕ$ on a normal subgroup $N$ of $G$ is said to be $G$ -invariant if $ϕ (g x g^{- 1}) = ϕ (x)$ for every $g \in G$ and for every $x \in N$ . Invariant quasimorp…

math.GR2022

Mixed commutator lengths, wreath products and general ranks

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

In the present paper, for a pair $(G, N)$ of a group $G$ and its normal subgroup $N$ , we consider the mixed commutator length $cl_{G, N}$ on the mixed commutator subgroup $[…

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 $(G, N)$ of a group $G$ and its normal subgroup $N$ , we consider the space of quasimorphisms and quasi-cocycles on $N$ non-extendable to $G$ . To treat this space, we esta…

math.GR2020

Bavard's duality theorem for mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Takahiro Matsushita +1

Let $N$ be a normal subgroup of a group $G$ . A quasimorphism $f$ on $N$ is $G$ -invariant if $f (g x g^{- 1}) = f (x)$ for every $g \in G$ and every $x \in N$ . The goal in this paper is…