English

Uniqueness of bridge surfaces for 2-bridge knots

Geometric Topology 2007-05-23 v1

Abstract

Any 2-bridge knot in the 3-sphere has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotopy.

Keywords

Cite

@article{arxiv.math/0609567,
  title  = {Uniqueness of bridge surfaces for 2-bridge knots},
  author = {Martin Scharlemann and Maggy Tomova},
  journal= {arXiv preprint arXiv:math/0609567},
  year   = {2007}
}

Comments

12 pages, 4 figures

R2 v1 2026-07-22T17:42:44.348Z