One-ended 3-manifolds without locally finite toric decompositions

Sylvain Maillot (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

We introduce a class of one-ended open 3-manifolds which can be 'recursively' defined from two compact 3-manifolds, and construct examples of manifolds in this class which fail to have a toric decomposition in the sense of Jaco-Shalen and Johannson.

Domaines: Topologie géométrique [math.GT]

Sylvain Maillot. One-ended 3-manifolds without locally finite toric decompositions. Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics, In press, ⟨10.48550/arXiv.2011.05015⟩. ⟨hal-02997660⟩