English

Repeated boundary slopes for 2-bridge knots

Geometric Topology 2015-02-17 v1

Abstract

We investigate the question of when distinct branched surfaces in the complement of a 2-bridge knot support essential surfaces with identical boundary slopes. We determine all instances in which this occurs and identify an infinite family of knots for which no boundary slopes are repeated.

Keywords

Cite

@article{arxiv.1502.04610,
  title  = {Repeated boundary slopes for 2-bridge knots},
  author = {Cynthia L. Curtis and William Franczak and Randolph J. Leiser and Ryan J. Manheimer},
  journal= {arXiv preprint arXiv:1502.04610},
  year   = {2015}
}
R2 v1 2026-06-22T08:30:40.268Z