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math.AT2026
Mayer Path Homology
Dilan Karaguler, Guo-Wei Wei
We introduce Mayer path homology, a new homology theory for directed path complexes obtained by equipping path complexes with an -nilpotent differential. The main novelty of thi…
math.AT2025
PETLS: PErsistent Topological Laplacian Software
Benjamin Jones, Guo-Wei Wei
Persistent topological Laplacians are operators that provide persistent Betti numbers and additional multiscale geometric information through the eigenvalues of the persistent topo…
math.AT2023★ 3 cited
Persistent Directed Flag Laplacian
Benjamin Jones, Guowei Wei
Topological data analysis (TDA) has had enormous success in science and engineering in the past decade. Persistent topological Laplacians (PTLs) overcome some limitations of persis…