Hyperbolic covering knots
Geometric Topology
2014-10-01 v2
Abstract
Given any knot k, there exists a hyperbolic knot tilde k with arbitrarily large volume such that the knot group pi k is a quotient of pi tilde k by a map that sends meridian to meridian and longitude to longitude. The knot tilde k can be chosen to be ribbon concordant to k and also to have the same Alexander invariant as k.
Cite
@article{arxiv.math/0503152,
title = {Hyperbolic covering knots},
author = {Daniel S. Silver and Wilbur Whitten},
journal= {arXiv preprint arXiv:math/0503152},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-57.abs.html