2 papers
math.AC2026
Dualities in Multiparameter Persistence
Ulrich Bauer, Fabian Lenzen, Michael Lesnick
In the theory of persistent homology, a well known duality relates the barcodes of the absolute homology and relative cohomology of a one-parameter simplicial filtration. Motivated…
math.AC2025
Computing Flat-Injective Presentations of Multiparameter Persistence Modules
Fabian Lenzen
A flat-injective presentation of a multiparameter persistence module characterizes as the image of a morphism from a flat to an injective persistence module. Like flat or i…