Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups
Wacław Marzantowicz, Łukasz Patryk Michalak · Fundamenta Mathematicae · 2024
We construct a correspondence between epimorphisms $\varphi \colon \pi _1(M) \to F_r$ from the fundamental group of a compact manifold $M$ onto the free group of rank $r$, and systems of $r$ framed non-separating hypersurfaces in $M$, which induces a bije