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Hyperbolic covering knots

Daniel S. Silver·Wilbur Whitten
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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.

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Daniel S. Silver, Wilbur Whitten. 2005-11-05. Hyperbolic covering knots. https://doi.org/10.2140/agt.2005.5.1451

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