5 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…