Hyperbolic covering knots

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.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-57.abs.html

References in corpus (3)

• Computations of the Ozsvath-Szabo knot concordance invariant
• Witten's conjecture and Property P
• Alexander polynomial, finite type invariants and volume of hyperbolic knots

Cited by in corpus (2)

• Concordance of Seifert surfaces
• Non-Trivial Steenrod Squares on Prime, Hyperbolic and Satellite Knots