Algebraic stability theorem for derived categories of zigzag persistence modules
Algebraic stability theorem for derived categories of zigzag persistence modules
We study distances on zigzag persistence modules from the viewpoint of derived categories and Auslander–Reiten quivers. The derived category of ordinary persistence modules is derived equivalent to that of arbitrary zigzag persistence modules, depending on a classical tilting module. Through this derived equivalence, we define and compute distances on the …