English

Boundary slopes (nearly) bound cyclic slopes

Geometric Topology 2014-10-01 v3

Abstract

Let r_m and r_M be the least and greatest finite boundary slopes of a hyperbolic knot K in S^3. We show that any cyclic surgery slopes of K must lie in the interval (r_m - 1/2, r_M + 1/2).

Keywords

Cite

@article{arxiv.math/0407025,
  title  = {Boundary slopes (nearly) bound cyclic slopes},
  author = {Thomas W. Mattman},
  journal= {arXiv preprint arXiv:math/0407025},
  year   = {2014}
}

Comments

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-31.abs.html