English

On two-generator satellite knots

Geometric Topology 2008-02-03 v1

Abstract

Techniques are introduced which determine the geometric structure of non-simple two-generator 33-manifolds from purely algebraic data. As an application, the satellite knots in the 33-sphere with a two-generator presentation in which at least one generator is represented by a meridian for the knot are classified.

Keywords

Cite

@article{arxiv.math/9703206,
  title  = {On two-generator satellite knots},
  author = {Steven A. Bleiler and Amelia C. Jones},
  journal= {arXiv preprint arXiv:math/9703206},
  year   = {2008}
}