9 citations · 22 across the 11 of their papers we have counts for
7 papers · 1 filter
Floer-type bipersistence modules and rectangle barcodes
Kanta Koeda, Ryuma Orita, Kanon Yashiro
We study the bipersistence modules obtained from the action-window homology of Floer-type complexes over . We prove that these modules are rectangl…
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…
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…
On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds
Ryuma Orita
We show that the presence of a non-contractible one-periodic orbit of a Hamiltonian diffeomorphism of a connected closed symplectic manifold implies the existence of infini…
Non-contractible periodic orbits in Hamiltonian dynamics on tori
Ryuma Orita
We show that the presence of one non-degenerate, non-contractible periodic orbit of a Hamiltonian on the standard symplectic torus implies the existence of infinitely many simple n…