English

Algorithmically detecting the bridge number of hyperbolic knots

Geometric Topology 2012-03-29 v2

Abstract

We exhibit an algorithm to determine the bridge number of a hyperbolic knot in the 3-sphere. The proof uses adaptations of almost normal surface theory for compact surfaces with boundary in ideally triangulated knot exteriors.

Keywords

Cite

@article{arxiv.0710.1262,
  title  = {Algorithmically detecting the bridge number of hyperbolic knots},
  author = {Alexander Coward},
  journal= {arXiv preprint arXiv:0710.1262},
  year   = {2012}
}

Comments

42 pages, 23 figures; v2 contains a rewritten introduction and updated references

R2 v1 2026-06-21T09:27:29.575Z