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math.AT2023
The poset of cancellations induced by gradient dynamics in a filtered Lefschetz complex
Herbert Edelsbrunner, Michał Lipiński, Marian Mrozek +1
Motivated by questions about simplification of topology, we take a discrete approach to the dependency of simplifying operations, using methods based on combinatorial gradient dyna…
math.AT2023
Computing Connection Matrices via Persistence-like Reductions
Tamal K. Dey, Michał Lipiński, Marian Mrozek +1
Connection matrices are a generalization of Morse boundary operators from the classical Morse theory for gradient vector fields. Developing an efficient computational framework for…