2 papers
math.AT2025
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…
math.SG2024
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…