English

Decompositions of the 3-sphere and lens spaces with three handlebodies

Geometric Topology 2021-05-11 v3

Abstract

In this paper, we consider decompositions of 3-manifolds with three handlebodies. We classify such decompositions of the 3-sphere and lens spaces with small genera. These decompositions admit operations called stabilizations. We also determine whether these decompositions are stabilized.

Keywords

Cite

@article{arxiv.2012.11861,
  title  = {Decompositions of the 3-sphere and lens spaces with three handlebodies},
  author = {Yasuyoshi Ito and Masaki Ogawa},
  journal= {arXiv preprint arXiv:2012.11861},
  year   = {2021}
}

Comments

39 pages, 14 figures