3 papers
math.AT2025
Fundamental groups of small simplicial complexes
Dejan Govc, Wacław Marzantowicz, Łukasz Patryk Michalak +1
The number of nonisomorphic simplicial complexes with up to vertices increases super-exponentially with , which makes exhaustive computation of invariants associated with su…
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.GT2018
Realization of a graph as the Reeb graph of a Morse function on a manifold
Łukasz Patryk Michalak
We investigate the problem of the realization of a given graph as the Reeb graph of a smooth function with finitely many critical…