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math.GT2019★ 1 cited
Symmetries and hidden symmetries of -twisted knot complements
Neil R. Hoffman, Christian Millichap, William Worden
In this paper we analyze symmetries, hidden symmetries, and commensurability classes of -twisted knot complements, which are the complements of knots that have a sufficie…
math.GT2019
Small knots of large Heegaard genus
William Worden
Building off ideas developed by Agol, we construct a family of hyperbolic knots whose complements contain no closed incompressible surfaces and have Heegaard genus exactly $n…