English

One-ended 3-manifolds without locally finite toric decompositions

Geometric Topology 2024-10-28 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2011.05015,
  title  = {One-ended 3-manifolds without locally finite toric decompositions},
  author = {Sylvain Maillot},
  journal= {arXiv preprint arXiv:2011.05015},
  year   = {2024}
}

Comments

17 pages, 3 figures