Cusp types of quotients of hyperbolic knot complements
Abstract
This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, S2(2,4,4) cannot be the cusp cross-section of any orbifold quotient of a hyperbolic knot complement. Furthermore, if a knot complement covers an orbifold with a S2(2,3,6) cusp, it also covers an orbifold with a S2(3,3,3) cusp. We end with a discussion that shows all cusp types arise in the quotients of link complements.
Citation
Hoffman, N.R. (2020). Cusp types of quotients of hyperbolic knot complements.