4 citations · 10 across the 5 of their papers we have counts for
5 papers
Commuting symplectomorphisms on a surface and the flux homomorphism
Morimichi Kawasaki, Mitsuaki Kimura, Takahiro Matsushita +1
Let be a closed connected oriented surface whose genus is at least two equipped with a symplectic form. Then we show the vanishing of the cup product of the fluxes of c…
Gambaudo--Ghys construction on bounded cohomology
Mitsuaki Kimura
We consider a generalized Gambaudo--Ghys construction on bounded cohomology and prove its injectivity. As a corollary, we prove that the third bounded cohomology of the group of ar…
Norm-controlled cohomology of transformation groups
Mitsuaki Kimura
We generalize the result of Brandenbursky and Marcinkowski for the bounded cohomology of transformation groups to infinite volume case. To state the result, we introduce the notion…
-invariant quasimorphisms and symplectic geometry of surfaces
Morimichi Kawasaki, Mitsuaki Kimura
Let be a group and its normal subgroup. In this paper, we study -invariant quasimorphisms on which appear in symplectic geometry and low dimensional topo…
Conjugation-invariant norms on the commutator subgroup of the infinite braid group
Mitsuaki Kimura
In this paper, we give a proof of the result of Brandenbursky and Kȩdra which says that the commutator subgroup of the infinite braid group admits stably unbounded norms. Moreover,…