Commensurability classes of 2-bridge knot complements

Details Commensurability classes of 2-bridge knot complements Commensurability classes of 2-bridge knot complements

2006-12-18

arxiv.org/abs/math/0612473v1

Mathematics

Geometric Topology

20 pages; 2 figures

Scientific paper

We show that a hyperbolic 2-bridge knot complement is the unique knot
complement in its commensurability class. We also discuss constructions of
commensurable hyperbolic knot complements and put forth a conjecture on the
number of hyperbolic knot complements in a commensurability class.

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