The next simplest hyperbolic knots

Details The next simplest hyperbolic knots The next simplest hyperbolic knots

2003-11-21

arxiv.org/abs/math/0311380v4

J. Knot Theory Ramifications 13 (2004) 965--987

Mathematics

Geometric Topology

26 pages, published in Journal of Knot Theory and its Ramifications. Published version had the last term missing from some Dow

Scientific paper

We complete the project begun by Callahan, Dean and Weeks to identify all
knots whose complements are in the SnapPea census of hyperbolic manifolds with
seven or fewer tetrahedra. Many of these ``simple'' hyperbolic knots have high
crossing number. We also compute their Jones polynomials.

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