# Characterizing families of graph manifolds via suitable classes of simple fold maps into the plane and embeddability of Reeb spaces in some 3-dimensional manifolds

@inproceedings{Kitazawa2021CharacterizingFO, title={Characterizing families of graph manifolds via suitable classes of simple fold maps into the plane and embeddability of Reeb spaces in some 3-dimensional manifolds}, author={Naoki Kitazawa}, year={2021} }

Graph manifolds form important classes of 3-dimensional closed and orientable manifolds. Seifert manifolds are graph manifolds where hyperbolic manifolds are not. In applications of singularity theory of differentiable maps to studies of global topologies of manifolds, graph manifolds have been show to be characterized as ones admitting so-called simple fold maps of explicit classes by Saeki and the author. The present paper presents several new results of this type. Fold maps are higher…

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