Morimichi Kawasaki

activity

20242026

collaborators

6 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.GT2025

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.GR2025

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.SG2025

Flux homomorphism and bilinear form constructed from Shelukhin's quasimorphism

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2

Given a closed connected symplectic manifold $(M, I ¨ )$ , we construct an alternating $R$ -bilinear form $b = b_{I^¼_{Sh}}$ on the real first cohom…

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…