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math.DS2024
Every finite set of natural numbers is realizable as algebraic periods of a Morse$\unicode{x2013}$Smale diffeomorphism
Grzegorz Graff, Wacław Marzantowicz, Łukasz Patryk Michalak +1
A given self-map of a compact manifold determines the sequence of the Lefschetz numbers of its iterations. We consider its dual sequence give…
math.GT2024
Reeb graph invariants of Morse functions and -manifold groups
Łukasz Patryk Michalak
In this work we are focused on the existence of Morse functions on a closed manifold which are far from being ordered, i.e. whose Reeb graphs have positive first Betti number,…