9 citations · 22 across the 11 of their papers we have counts for
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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…
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…
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.