Hyperbolic covering knots

Details Hyperbolic covering knots Hyperbolic covering knots

2005-03-08

arxiv.org/abs/math/0503152v2

Algebr. Geom. Topol. 5 (2005) 1451-1469

Mathematics

Geometric Topology

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

Scientific paper

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.

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