Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups

Geometric group theory (20F65) Topological methods in group theory (57M07) Relations of low-dimensional topology with graph theory (57M15) Other types of cobordism (57R90) Critical points and critical submanifolds in differential topology (57R70)

Cites Work

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The edit distance for Reeb graphs of surfaces
On representation of the Reeb graph as a sub-complex of manifold
Loops in Reeb graphs of \(n\)-manifolds
Realization of a graph as the Reeb graph of a Morse function on a manifold
Loops in Reeb graphs of 2-manifolds
Classification of epimorphisms of fundamental groups of surfaces onto free groups
Diophantine geometry over groups. I: Makanin-Razborov diagrams
Combinatorial modifications of Reeb graphs and the realization problem
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values
Introduction to group theory. Translated from the Russian. With a new chapter.
Morse functions with sphere fibers
EQUATIONS IN A FREE GROUP
Notes on Sela's work: Limit groups and Makanin-Razborov diagrams
ON SYSTEMS OF EQUATIONS IN A FREE GROUP
Smooth and Topological Equivalence of Functions on Surfaces
Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds
Reeb Spaces of Smooth Functions on Manifolds
The co-rank of the fundamental group: The direct product, the first Betti number, and the topology of foliations
Heegaard Splittings and Splitting Homomorphisms
Geometric realizations for free quotients

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