3 papers
math.AT2026
Computing Homomorphisms of Poset Representations with Applications to Multiparameter Persistence
Jan Jendrysiak
We present algorithms to compute the vector space of homomorphisms Hom(X,Y) between finitely generated representations of the partially ordered set Z^d. Our results generalise to a…
cs.DS2026
Computing the Skyscraper Invariant
Marc Fersztand, Jan Jendrysiak
We develop the first algorithms for computing the Skyscraper Invariant [FJNT24]. This is a filtration of the classical rank invariant for multiparameter persistence modules defined…
math.RT2025
Decomposing Multiparameter Persistence Modules
Tamal K. Dey, Jan Jendrysiak, Michael Kerber
Dey and Xin (J.Appl.Comput.Top., 2022, arXiv:1904.03766) describe an algorithm to decompose finitely presented multiparameter persistence modules using a matrix reduction algorithm…