3 papers
math.AT2026
Persistent Combinatorial Model of the Restricted Second Configuration Space of Metric Star Graphs
Wenwen Li, Murad Ozaydin
In this work, we present explicit constructions and computations of representative cycles for a nontrivial 2-parameter persistence module arising from the configuration space of me…
math.RA2025
Classification of Leavitt Path Algebras with Gelfand-Kirillov Dimension <4 up to Morita Equivalence
Ayten Koç, Murad Ãzaydın
Leavitt path algebras are associated to di(rected )graphs and there is a combinatorial procedure (the reduction algorithm) making the digraph smaller while preserving the Morita ty…
math.AT2025
Notes on Pointwise Finite-Dimensional -Parameter Persistence Modules
Wenwen Li, Murad Ozaydin
In this paper, we study pointwise finite-dimensional (p.f.d.) -parameter persistence modules where each module admits a finite convex isotopy subdivision. We show that a p.f.d.…