English

Characterization of 3-bridge links with infinitely many 3-bridge spheres

Geometric Topology 2015-03-19 v1

Abstract

The author, in her previous paper, constructed an infinite family of 3-bridge links each of which admits infinitely many 3-bridge spheres up to isotopy. In this paper, we prove that if a prime, unsplittable link LL in S3S^3 admits infinitely many 3-bridge spheres up to isotopy then LL belongs to the family.

Keywords

Cite

@article{arxiv.1105.3792,
  title  = {Characterization of 3-bridge links with infinitely many 3-bridge spheres},
  author = {Yeonhee Jang},
  journal= {arXiv preprint arXiv:1105.3792},
  year   = {2015}
}

Comments

21 pages, 15 figures