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math.AT2025
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
Álvaro Torras-Casas, Ka Man Yim, Ulrich Pennig
Given a poset-graded chain complex of vector spaces, a Conley complex is the minimal chain-homotopic reduction of the initial complex that respects the poset grading. A connection…
math.AT2021★ 5 cited
Partial Matchings Induced by Morphisms between Persistence Modules
R. Gonzalez-Diaz, M. Soriano-Trigueros, A. Torras-Casas
We study how to obtain partial matchings using the block function , induced by a morphism between persistence modules. is defined algebraically a…