All integral slopes can be Seifert fibered slopes for hyperbolic knots
Geometric Topology
2014-10-01 v1
Abstract
Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the 3-sphere S^3? It is conjectured that if r-surgery on a hyperbolic knot in S^3 yields a Seifert fiber space, then r is an integer. We show that for each integer n, there exists a tunnel number one, hyperbolic knot K_n in S^3 such that n-surgery on K_n produces a small Seifert fiber space.
Keywords
Cite
@article{arxiv.math/0505322,
title = {All integral slopes can be Seifert fibered slopes for hyperbolic knots},
author = {Kimihiko Motegi and Hyun-Jong Song},
journal= {arXiv preprint arXiv:math/0505322},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-16.abs.html