4 citations · 25 across the 21 of their papers we have counts for
14 papers · 1 filter
Flux homomorphism and bilinear form constructed from Shelukhin's quasimorphism
Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama +2
Given a closed connected symplectic manifold , we construct an alternating -bilinear form on the real first cohomol…
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…
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…
On boundedness of characteristic class via quasi-morphism
Morimichi Kawasaki, Shuhei Maruyama
In this paper, we characterize the second bounded characteristic classes of foliated bundles in terms of the non-descendible quasi-morphisms on the universal covering of the struct…
-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…
Rigid fibers of spinning tops
Morimichi Kawasaki, Ryuma Orita
(Non-)displaceability of fibers of integrable systems has been an important problem in symplectic geometry. In this paper, for a large class of classical Liouville integrable syste…
Disjoint superheavy subsets and fragmentation norms
Morimichi Kawasaki, Ryuma Orita
We present a lower bound for a fragmentation norm and construct a bi-Lipschitz embedding with respect to the fragmentation norm on the grou…
Existence of pseudo-heavy fibers of moment maps
Morimichi Kawasaki, Ryuma Orita
In the present paper, we introduce the notion of pseudo-heaviness of closed subsets of closed symplectic manifolds and prove the existence of pseudo-heavy fibers of moment maps. In…
Function theoretical applications of Lagrangian spectral invariants
Morimichi Kawasaki
Entov and Polterovich considered the concept of heaviness and superheaviness by the Oh-Schwarz spectral invariants. The Oh-Schwarz spectral invariants are defined in terms of the H…
Computation of annular capacity by Hamiltonian Floer theory of non-contractible periodic trajectories
Morimichi Kawasaki, Ryuma Orita
The first author introduced a relative symplectic capacity for a symplectic manifold and its subset which measures the existence of non-contractible periodic traj…
Fragmented Hofer's geometry on Hameomorphism groups and its application
Morimichi Kawasaki
Stefan Mller posed the problem "Do Hofer's metrics on the group of Hamiltonian diffeomorphism and the one of Hamiltonian homeomorphisms (Hameomorphisms) correspo…
Fragmented Hofer's geometry
Morimichi Kawasaki
Hofer's norm (metric) is an important and interesting topic in symplectic geometry. In the present paper, we define fragmented Hofer's norms which are Hofer's norms controlled by f…
Heavy subsets and non-contractible trajectories
Morimichi Kawasaki
Entov and Polterovich defined heaviness for closed subsets of a symplectic manifold by using the Hamiltonian Floer theory on contractible trajectories. Heavy subsets are known to b…
Superheavy Lagrangian immersion in 2-torus
Morimichi Kawasaki
We show that the union of a meridian and a longitude of the symplectic 2-torus is superheavy in the sense of Entov-Polterovich. By a result of Entov-Polterovich, this implies that…