9 citations · 22 across the 11 of their papers we have counts for
12 papers
Maximal topological complexity of monotone symplectic 4-manifolds
Ryuma Orita
We continue the study of Farber's topological complexity for monotone symplectic manifolds initiated in \cite{Or25}. First, we show that a closed spherically monotone symplectic ma…
Morse-Bott-Smale chain complex
Ryuma Orita, Kanon Yashiro
Banyaga and Hurtubise defined the Morse-Bott-Smale chain complex as a quotient of a large chain complex by introducing five degeneracy relations. However, their five degeneracy rel…
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…
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…
Topological complexity of monotone symplectic manifolds
Ryuma Orita
We study Farber's topological complexity for monotone symplectic manifolds. More precisely, we estimate the topological complexity of 4-dimensional spherically monotone manifolds w…
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…
Morse-Bott inequalities for manifolds with boundary
Ryuma Orita
In the present paper, we define Morse-Bott functions on manifolds with boundary which are generalizations of Morse functions and show Morse-Bott inequalities for these manifolds.
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…