English

Lens space surgeries & primitive/Seifert type constructions

Geometric Topology 2007-12-12 v1

Abstract

We show that lens space surgeries on knots in S3S^3 which arise from the primitive/Seifert type construction also arise from the primitive/primitive construction. This is the first step of a three step program to prove the Berge conjecture for tunnel number one knots.

Keywords

Cite

@article{arxiv.0712.1797,
  title  = {Lens space surgeries & primitive/Seifert type constructions},
  author = {Michael J. Williams},
  journal= {arXiv preprint arXiv:0712.1797},
  year   = {2007}
}

Comments

18 pages, 8 figures

R2 v1 2026-06-21T09:53:01.234Z