English

Non-integral toroidal surgery on hyperbolic knots in $S^3$

Geometric Topology 2009-09-25 v1

Abstract

We show that on any hyperbolic knot in S3S^3 there is at most one non-integral Dehn surgery which yields a manifold containing an incompressible torus.

Keywords

Cite

@article{arxiv.math/9704222,
  title  = {Non-integral toroidal surgery on hyperbolic knots in $S^3$},
  author = {Cameron McA. Gordon and Ying-Qing Wu and Xingru Zhang},
  journal= {arXiv preprint arXiv:math/9704222},
  year   = {2009}
}
R2 v1 2026-07-22T17:56:45.450Z